triangles Crossword Puzzles

Across

3. structures used to model pairwise relations between objects on a 2D plane (x,y)
7. a relationship between inputs where each input is related to exactly one output
9. A polynomial with two terms
10. in a right triangle, the ratio of the length of the hypotenuse to the side opposite an acute angle
13. the set of values that are allowed to plug into a function
14. an equation where the variables (usually x and y) are expressed in terms of a third parameter, usually expressed as t
15. the constant ratio between any two consecutive terms in a geometric sequence
17. a list of items or numbers
21. a binomial formed by switching the sign of the second term of another binomial
22. the angle created when the arc length of a circle is equal to the radius
23. an expression consisting of variables/coefficients and operations such as addition/subtraction/multiplication/division
24. in a right triangle, the ratio of the adjacent side of a given acute angle to the opposite side
27. in a right triangle, the ratio of the length of the adjacent to the hypotenuse
28. a value provided to obtain the function's result. It is also called an independent variable
32. a line about which a figure (or graph) is rotated in space
33. there is a 'sameness' about two figures
36. another name for solutions
37. a triangle with a 90 degree angle on one side
40. the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions
42. the amount between each number in an arithmetic sequence
45. the collection of whole numbers and negative numbers
46. a type of transformation that moves each point in a figure the same distance in the same direction
47. A line in the plane that is used to help describe the behavior of the graph of a function or a conic section

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1. a member of a set
2. a polynomial equation of a second degree
4. the set of possible output values of a function
5. a cornerstone of math that helps us find the missing side length of a right triangle
6. mathematics that deals with shapes and figures
8. when two straight lines meet
11. a curve in which every point on the curve is equidistant from the focus
12. Any line with a positive or negative slope
16. uninterrupted continuation
18. sum of the terms in a sequence
19. the non-negative value of x without regard to its sign.
20. The line segment whose endpoints are the vertices of a hyperbola
23. function that helps find the missing side length of a right triangle
25. the number when you multiply a number and a variable
26. the distance from the center of the circle to any point on it's circumference
29. all points in a plane that are a fixed distance from a given point in the plane
30. The line segment that perpendicularly bisects the major axis of an ellipse with endpoints on the ellipse
31. the value that the function approaches as it goes to an x value
34. a branch of mathematics that deals with the study of triangles
35. a specific quantity drawn as a line segment with an arrowhead at one end
38. the amount of time it takes a given quantity to decrease to half of its initial value
39. lack of connection or continuity
41. a curve or other shape made by all the points satisfying a particular equation of the relation between the coordinates
43. The line segment through the foci of an ellipse with endpoints on the ellipse.
44. an alphabet or term that represents an unknown value

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2. a geometric shape characterized by having three unequal side lengths and three unequal interior angles. This makes it distinct from other triangles.
5. a fundamental concept in mathematics, representing a precise location in space with no dimensions, often depicted as a dot. It has no length, width, or height, making it the building block for defining lines, shapes, and volumes in geometry.
7. a geometric concept representing a line extending indefinitely from a single point, with direction but no specific length. used to describe the path along which light, heat, or other forms of energy travel.
9. points that lie within the same plane, meaning they can be contained on a flat surface without extending above or below it. In other words, they can all be connected by a single, straight line without leaving the plane.
12. multiple straight lines that lie on the same line, with no deviation, creating a shared path or trajectory in space. These lines possess identical directionality and can be extended infinitely in both directions along their common path.
14. an angle that is less than 90 degrees. For example, an angle that is 42 degrees
17. a polygon with three sides and three angles, formed by connecting three non-collinear points in a plane. Its properties vary depending on the lengths of its sides and the measures of its angles.
18. a point where two or more lines, edges, or curves meet, defining a corner or intersection within a geometric shape. It represents an entity such as a node in a network, with edges connecting vertices to represent relationships or connections between them.
19. a polygon with four sides and four vertices. Its interior angles sum up to 360 degrees.

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1. a flat, two-dimensional surface that extends infinitely in all directions, characterized by containing an infinite number of points and being completely flat. It is defined by any three non-collinear points within it, forming a unique, unbounded surface.
3. a geometric figure formed by two rays with a common endpoint. Measured in degrees or radians
4. a geometric shape characterized by three equal sides and three equal angles, each measuring 60 degrees. Its symmetrical properties make it a fundamental shape in geometry and architectural design.
6. a geometric figure with two sides of equal length and two corresponding angles of equal measure, making it symmetrical along its central axis. Its third side and angle may vary in size, but the equal sides give it a distinctive triangular shape.
8. a quadrilateral with opposite sides parallel and equal in length, forming two pairs of parallel sides. Its opposite angles are also equal, while adjacent angles are supplementary.
10. describes geometric figures or objects that have the same shape and size. Can be superimposed perfectly onto one another.
11. a line, ray, or segment that divides an angle or a line segment into two equal parts, creating two congruent angles or segments. serves as the geometric midpoint, ensuring equality and balance within the divided elements.
13. a closed geometric figure consisting of straight lines joined together to form a shape with three or more sides. Each side intersects exactly two other sides, and its interior angles sum up to specific values depending on the number of sides.
15. an angle that is more than 90 degrees. For example, an angle that is 142 degrees
16. an angle that is 90 degrees. For example, a 90-degree angle
20. a one-dimensional geometric figure that extends infinitely in both directions, composed of an infinite number of points arranged sequentially. It has no width or thickness, only length.

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2. wrote the Almagest which means “the greatest”
5. For the Greeks, this was the main discipline of mathematics.
6. The Pythagorean problem was complicated because the heavenly bodies move in complicated ways, and they needed to use spheres even though the motion of the planets wasn’t _____.
11. The reason Plato’s Pythagorean approach didn’t advance was due to the difficulty of applying mathematics to the _____ world.
14. According to Aristotle, _____ rises because its natural resting place is just inside the moon’s orbit.
16. We say gravity causes a dropped ball to fall and Aristotle says that the ball’s _____ causes it to fall.
17. The ancient Greeks believed that terrestrial objects were composed of four elements: earth, air, fire, and _____.
18. Aristotle was interested in Plato’s project and modified Eudoxus’s celestial system of spheres, making it more accurate by increasing the number of spheres to more than _____.
21. forces acting on the lever cancel each other out or make the lever balanced
22. Eudoxus used this many spheres to describe the motion of all the heavenly bodies, which was not exact but came closer than others.
26. Aristotle believed the celestial spheres were transparent _____ spheres composed of ether or quintessence.
30. It was easier to describe the motion of these kinds of objects than to mathematically describe the motion of earthly, or terrestrial objects.
31. replaces Aristotle as the ruler of science after the Scientific Revolution
32. one of the main goals of science is to understand change in mathematical _____
33. Aristotle believed forms were actually in earthly objects, making them more _____ to describe mathematically.
35. For most of Western history, science was called _____ philosophy.
36. Aristotle, unlike Plato, denied there was a world of these, but believed they existed in their own realm
37. name of the project uncovering the mathematical order of nature that hides behind the chaotic appearances
38. Pythagoras and Plato gave the problem of _____a mathematical twist
39. What makes Aristotle’s law of fall false is that the reason a heavier thing falls faster is because it can cut through the _____ faster.

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1. discipline that studies forces acting on stationary objects in water or some other fluid
3. means the measurement of triangles
4. Greek word meaning nature and source of our word physics
7. thought mathematics was the most secure kind of knowledge
8. discipline that studies forces acting on stationary objects
9. main goal Mr. Stokes mentions in his book is to understand the _____ fundamentals of calculus
10. doing this to motion means attaching numbers to it
12. describing nature mathematically is this
13. Plato, inspired by the Pythagoreans was to mathematically describe the _____ motions
15. Archimedes’s Principle is that any solid lighter than a _____ will, if placed in the fluid, be so far immersed that the weight of the solid will be equal to the weight of the fluid displaced.
19. Medieval Scholastics paraphrased Aristotle’s goal of physics with this famous saying: “Ignorance of motion is _____ of nature.”
20. Aristotle said the _____ of change has to do with the object’s nature.
23. Euclid’s Elements about mathematics contained none of these, only theorems and proofs about shapes.
24. means “I found it.”
25. Plato and Eudoxus were not concerned with the _____ of the motion of the planets, they just wanted to accurately describe it.
27. in describing nature with mathematics we encounter problems with change in ______ (space, time, numbers, that have problems with continuity and infinity)
28. a student of Plato who was the first to answer Plato’s challenge. He solved the problem using 4 spheres rotating about one another to describe the motion of Mercury.
29. this kind of speed is incoherent because no distance can be travelled in an instant, yet when we observe an object in motion it seems moving, not still
34. combination of Aristotle with Christianity

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3. one that shows complete disregard for others, selfish in actions that affects other drivers
5. an action taken by the traffic unit to avoid hazardous situation
6. a line thar is parallel to a center line that indicates that all traffic must not cross for purposes of overtaking
9. theory asserting man exhibit constant variation of energy and mood states
13. major builder in ancient world
14. known as the Land Transportation and Traffic code
16. the separation of a traffic unit in motion from an object in which it has collided
17. two short snappy blast
20. an act of bringing a motor vehicle as consequence of traffic law
22. device mounted on a fixed or portable means of words or symbols created for different purposes
24. most common cause of road accident in Philippines
26. enforcement action that makes a violator appear in court without physical arrest
28. includes all public information for the safety education of both drivers and pedestrian in line with traffic laws
30. privilege granted by the state to operate a motor vehicle
32. refers to group of stopped vehicle units due to interruption
35. refers to number of vehicles occupying a specific length of a roadway at a given instant
36. is an act of taking, with intent to gain, of a motor vehicle belonging to another without any consent
38. any licenses operator of a motor vehicle
40. last step in the enforcement wherein court imposes penalty upon traffic law violator
42. scattered broken parts of vehicles, rubbish, dust, and other materials at scene of accident
43. one of the man’s great invention
46. anything on the road that prevents or hinders smooth flow of traffic
47. tasked to enforced laws, rules and regulation governing registration of vehicles

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1. act or process of conveying from one place to another
2. areas within the roadway constructed in a manner to establish physical channels
4. friction mark on a pavement made by a tire – rotating a slipping
5. deals with planning and geometric design of streets, highway etc.
7. parallel or irons were used as roads
8. acts and omissions against traffic laws
10. signs are intended to inform road users of obligations, instructions, and prohibitions
11. refers to the straight section of the road
12. invented an effective gas motor engine way back in 1876
15. an executive function such as planning, organizing, directing etc.
18. traffic action that includes arresting, issuing traffic citation ticket and warning
19. entire width between the boundary lines of every way
21. activities that are normally resorted by the courts on traffic violations
23. an event on road that characterizes manner of occurrence of motor vehicle traffic accident
25. occurrence of events that results to unintended injury, death, or damaged property
27. elevated structure built for safety of pedestrians in crossing busy highways
28. movement of person, goods or vehicles powered by combustion system or animal drawn
29. it indicates deficiency of action. This is when a person fails to take the necessary precautions
30. responsible of determining traffic flow planning approval of program and budget finding upon road maintenance
31. keeping of order on streets and highways with use of existing regulations
33. signs that have red triangles connotes what
34. branch of government that interprets law through adjudication of cases
37. licensed person allowing limited amount of passengers/cargo in public utility buses or truck
39. portion of the road that answers safety of pedestrians
41. usually involves lack of skill, it indicates deficiency of perception
44. one long blast
45. a circumstance that alters an attribute permanently or temporarily

Across

5. Which of these principles of animation refers to giving the viewer clues as to what will be happening next through lead-in or "wind up" frames?
7. After a particularly hard collision on the football field, Jordan is experiencing great pain and swelling around his knee. There is a collection of fluid around his knee joint. This is a called:
8. What area of design refers to the set of rules and procedures that control the players' actions to achieve the goals of the game?
12. Which of these is NOT a specialized area under the chemical engineering branch?
13. To check a patient's pulse, the nurse must first find:
16. The first veterinarians focused on treating:
19. Everyone's DNA is different with one exception, __________.
22. A cusp on a tooth is:
23. The ability to understand how a customer feels is called _______________.
28. What type of recreational experience offers guided services for a fee?
29. While helping his grandfather in the attic, Jeff stepped on a short nail that was sticking up from the floor boards. It went through his shoe into his foot. This type of wound is called a:
30. Which of these is NOT a communicable disease?
31. A ________ is a sum of money raised to pay for government services.
34. The science of human movement is called:
35. After fingerprints, which is the most common way to tell people apart?
36. _______ is defined as "the rate of energy transmitted or generated over a period of time."
37. A _____ control valve is a valve that starts, stops, reverses, and controls the direction of the flow of air or fluids.
38. A _______ is the name, term, symbol, sign, or design that helps identify a product or service.
39. The amount of _____ between the object and the other objects surrounding it plays a part in determining speed and force.
40. Raster graphics are composed of ______ or individual points of color.

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1. A square can be strengthened with a ______ cross brace. But notice how it becomes a square with two internal triangles!
2. A narrative writing assignment will ask you to _______ something you've learned in the module.
3. Which procedure treats tooth decay by sealing the tooth?
4. People who study living things and how they interact with their environment are called __________.
6. A magnet located on the _________ creates the electricity that is sent to the ignition coil.
9. A red room with green accents represents which color scheme?
10. Which device is BEST to obtain images of soft tissues in a patient’s body?
11. The amount of _____ between the object and the other objects surrounding it plays a part in determining speed and force.
14. What is the term for creating the transitional frames between two keyframes?
15. Which part of the game design document describes the project's objectives, progressions, UX and UI elements?
17. In an optic fiber, light is reflected by the _____________.
18. What is the name of the piece of equipment that uses steam under pressure or gas to sterilize equipment and supplies?
20. _________ is an essential component of engineering, as engineers work together for the purpose of finding solutions to problems.
21. The pH of water depends on the number of ______________ in it.
24. What kind of lines are straight and do not intersect at any point, keeping a fixed distance between each other?
25. Which of these features of technical drawings set the allowable variations for each dimension or physical property of the object?
26. The term "______________" means color.
27. __________ consumption from modern technology requires valuable natural resources.
29. The connecting rod, or "con rod," is attached to the ________.
30. The burning of coal, gasoline, oil, and natural gas through industrial activity is a major cause of ___________.
32. The danger in moving someone who may have spinal injuries is in causing:
33. The smallest units of light are called ____________.
39. When a computer processor receives a 0, it starts the flow of electricity through the circuit for a small fraction of a second.

Across

1. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
5. does not require to be proved.
6. Point B is between points A and C if it is on the line segment connecting A and C.
7. A flat surface that can extend forever in length and width but has no thickness.
9. a general conclusion that has been proved
12. To draw a figure, usually under certain specific restrictions such as using only a straightedge and compasses
15. Two lines that intersect at right angles
17. Two angles that are adjacent and supplementary
19. two rays with a common endpoint that point in opposite directions and form a straight line.
22. The path of a point moving in opposite directions infinitely. A line has neither width nor thickness but length. It is the shortest distance between two points.
23. A three dimensional figure with a single base tapering to an apex
24. A polygon that has one or more interior angles greater than 180°
26. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex
27. The distance from the center of a circle to any point on its circumference.
29. A complete circular arc. collinear Lying on the same line.
31. two angles that add up to 180°.
34. Two rays sharing a common endpoint.acuteangle An angle that has measure less than 90°.
35. They lie in different planes.
36. the length of the boundary around a shape or a figure.
37. A line segment between two points on the circle or sphere which passes through the center.
38. Part of a line between two points called endpoints.
41. A perfect round ball
42. A space figure with two parallel polygonal bases that are the same shape and the same size.
44. all its edges "point outwards"
45. A closed plane figure bounded by at least three line segments.
46. A planar surface of a solid figure.

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2. When two lines intersect, four angles are formed.
3. A geometric object that has no dimension and is used to indicate a location.
4. An angle that is between 90° and 180°.
7. A solid bounded by at least four polygonal faces
8. The side opposite the right angle in a right triangle.
10. A three-dimensional geometric figure with parallel congruent bases
11. Two acute angles that add up to 90°
13. Two angles in a plane which share a common vertex and a common side but do not overlap.
14. A line segment, line, or plane that divides a geometric figure into two congruent halves.
16. Also called half-line. It is a straight line that extends from a point
18. An angle that measures 90°
20. Two or more straight coplanar lines that do not intersect.
21. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
24. Exactly equal in size and shape
25. The pair of angles opposite each other formed by two intersecting lines.
28. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
30. A line segment where two faces of a polyhedron meet.
32. a term that is not defined
33. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
39. The point on a line segment that divides the given line segment into two congruent parts.
40. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
43. Points or lines that all lie in the same plane.

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1. A point on a line segment that divides the segment into two congruent segments.
4. When two circles have the same radius.
7. Two lines are parallel if they are in the same plane and never intersect.
9. A polygon that has all interior angles less than 180°.
12. Writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement
14. Two lines the lie in the same plane.
15. Term that is described but is not precisely defined, because it is impossible.
17. A straight set of points that extends into infinity in both directions.
18. Accept fact but is not proven because it is possible.
19. Proven fact through logic and use of definitions.
22. Pair of adjacent angles formed when two lines intersect.
24. Two angles that share the same vertex and have one side in common between them.
26. Special kind of drawing for which we use only a compass and a straightedge.
27. A three-dimensional figure with all points in space a fixed distance from a given point, called the center.
30. A pair of angles that add up to 90°.
33. Part of a line, with one endpoint, and extending to infinity in one direction.
34. The point on an angle where the two sides intersect.
38. Lying on the same straight line.
40. A set of angels directly opposite of each other, formed by the intersection of straight lines.
41. Solid formed by rotating a right triangle around one of its legs.
42. The side of a polygon or line segment where two faces of a solid figure meet.
45. The side opposite the right angle in a right triangle.
46. An angle whose measure is 90 degrees.
47. The sum of the lengths of the sides of a polygon.
48. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
49. A flat surface of a three-dimensional figure.

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2. The line segment joining two points on a circle and passing through the center of the circle.
3. Three-dimensional geometric shape.
4. A set of numbers or letters. ex. (2,5)
5. Two points on a line, and all the points between those two points.
6. The complete distance around a circle or a closed curve.
8. polygon Polygon that has one or more interior angles greater than 180°.
10. A location in a plane or in space, having no dimensions.
11. Two rays that both start from a common point and go off in exactly opposite directions.
13. A three-dimensional figure that has a polygon for its base and whose faces are triangles having a common vertex.
16. Lines that are not in the same plane and that do not intersect.
20. A flat surface that stretches into infinity
21. A pair of opposite angles that is formed by intersecting lines.
23. A three-dimensional solid that is bounded by plane polygons.
25. A closed plane figure made up of several line segments that are joined together.
28. A three-dimensional shape with identical parallel bases, all other faces are rectangular.
29. An angle whose measure is greater than 90 degrees.
31. Two lines are perpendicular if the angle between them is 90 degrees.
32. An angle with a measure between 0° and 90°.
35. Two angles are supplementary if their sum is 180 degrees.
36. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
37. At some point along a scale from one amount, distance, weight etc to another
39. The distance from the center to a point on a circle; the line segment from the center to a point on a circle.
43. Figure formed by two rays sharing a common endpoint.
44. A unit of measure of an angle.

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2. angle An angle that is between 90° and 180°
4. a solid formed by rotating a right triangle around one of its legs
6. neither parallel nor at right angles to a specified or implied line
7. The highest power of the variable in a polynomial
8. 2 is____1 and 3
11. Lying on the same straight line
13. term a term that hasn’t been solved yet
16. The boundary line of a circle or the length of such a boundary line
18. A line segment that passes through the center of a circle and has its two endpoints on the circle
20. a straight line that extends from a point
22. A geometric object that has no dimension and is used to indicate a location
23. An additional geometric figure that is constructed to assist in solving a problem or producing a proof
25. The length of the boundary around a shape or a figure
26. Lines that intersect
28. angles The pair of angles opposite each other formed by two intersecting lines
30. a suggest or assume the existence
31. a general conclusion that has been proved
33. the extent or measurement of a surface or piece of land
34. The distance from the center of a shape to any point on its circumference
35. the space, that is usually measured in degrees, between two intersecting lines or surfaces at or close to the point where they meet
36. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts
41. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane
42. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex
43. The side opposite the right angle in a right triangle

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1. A planar surface of a solid figure
3. a closed solid bounded by a surface on which all points are equidistant from a central point called the center
4. A can-shaped solid figure
5. angles angles that have a common ray coming out of the vertex going between two other rays
6. 2 or more that add up with another angle
9. A solid bounded by at least four polygonal faces
10. The point on a line segment that divides the given line segment into two congruent parts
12. angle angle that measures 90°
14. polygon a set of points some of whose chords include points that are in the set
15. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms
16. A pair of angles that add up to 90°. As shown, 1 is the complementary angle of 2
17. polygon a set of points any of whose chords do not include any point that is not in the set
19. A line segment where two faces of a polyhedron meet
21. angle an angle less than 90 degrees but more than 0 degrees
24. Planar figures or solid shapes that have the same shape and size
27. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes
29. pair The two supplementary adjacent angles formed by two intersecting lines
30. lines that don’t intersect
32. A space figure with two parallel polygonal bases that are the same shape and the same size
37. Points or lines that all lie in the same plane
38. rays two rays with a common endpoint that form a line
39. A point at which the two or more rays of an angle meet
40. segment Part of a line between two points called endpoints
44. A closed plane figure bounded by at least three line segments

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4. A point in a circle that is equidistant to any point on the circle, the midpoint of the diameter.
8. Two angles that together add up to 180 degrees.
11. A line with only one point on the edge of the circle.
14. A three sided shape where all the angles add up to 180 degrees.
15. This is how wide the shape is.
19. The amount of space that is exposed.
20. A four-sided shape with four right angles and all the sides are equal.
21. Two angles that together add up to 90 degrees.
22. A 3-dimensional shape all the bases being squares.
23. The amount of space inside a shape.
27. An eight sided shape, think of a stop sign.
28. A section circle that is equal to less than 180 degrees.
30. Two lines that intersect at a 90 degree angle, and the slopes are opposite recipricals.
33. An angle that is equal to less than 90 degrees.
35. A five sided shape, think of the military base in Washington, D.C.
36. An angle where the vertex is on the edge of the circle.
38. A line segment with both endpoints on the edge of the circle.
41. A line with two dots for endpoints.
43. A four sided shape with only one pair of parallel lines and the consecutive angles equal 180 degrees.
44. The formula to use when finding the length of the opposite side of the angle knowing the length of the adjacent side.
45. A point in the middle of a line segment.
47. A six sided shape.
48. A triangle where none of the sides are equal.
49. The formula to use when finding the length of the adjacent side of the angle when you know the length of the hypotenuse.

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1. An angle with the vertex on the center of the circle.
2. The formula that helps you determine a triangles missing side length.
3. A 3-dimensional shape with two circles as the bases.
5. A triangle where all the sides are equal.
6. Two lines that will never intersect and they have the same slope.
7. A line that has one endpoint and extends forever in one direction.
8. A line with two points on the edge of the circle.
9. A never-ending number that starts with 3.14.
10. Any four sided shape.
12. A quadrilateral with 2 pairs of parallel lines and the opposite angles, and sides are congruent.
13. A section of the circle that is equal to more than 180 degrees.
16. This is how tall the shape is.
17. A four-sided shape where all the sides are equal, and opposite angles are congruent, think of a slanted square.
18. A line that bisects an angle in half.
20. Half of a circle, equal to 180 degrees.
21. A shape with no sides that is equal to 360 degrees, think of a pizza.
24. The formula to use when finding the length of the hypotenuse of the triangle knowing the length that is opposite of the angle.
25. When two things are equal to each other.
26. The shape that you use to find the area in a 3-dimensional shape.
29. A section of a circle that has a central angle and its intercepted arc, think of a slice of pizza.
31. Think of the thing made of waffle that holds ice cream, it has a circular base.
32. An angle that is equal to more than 90 degrees.
34. A 3-dimensional shape with either a triangle or square base that all the sides then meet up at a point at the top.
37. An angle that is equal to 90 degrees.
39. A line segment from one side of the circle to the other going through the center.
40. This is how long the shape is.
42. A line segment from the center to any point on the edge of the circle.
46. A triangle where two of the sides are equal.

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3. in a right triangle, the ratio of the length of the hypotenuse to the side opposite an acute angle
4. the collection of whole numbers and negative numbers
5. another name for solutions
6. a polynomial equation of a second degree
8. The line segment through the foci of an ellipse with endpoints on the ellipse.
11. a branch of mathematics that deals with the study of triangles
13. a relationship between inputs where each input is related to exactly one output
16. an expression consisting of variables/coefficients and operations such as addition/subtraction/multiplication/division
18. a specific quantity drawn as a line segment with an arrowhead at one end
20. a value provided to obtain the function's result. It is also called an independent variable
24. the value that the function approaches as it goes to an x value
25. a member of a set
26. when two straight lines meet
27. the non-negative value of x without regard to its sign.
29. A line in the plane that is used to help describe the behavior of the graph of a function or a conic section
31. a type of transformation that moves each point in a figure the same distance in the same direction
34. a binomial formed by switching the sign of the second term of another binomial
35. the angle created when the arc length of a circle is equal to the radius
36. Any line with a positive or negative slope
37. mathematics that deals with shapes and figures
38. in a right triangle, the ratio of the length of the adjacent to the hypotenuse
39. a curve in which every point on the curve is equidistant from the focus
40. an alphabet or term that represents an unknown value
41. uninterrupted continuation
42. the amount of time it takes a given quantity to decrease to half of its initial value
43. lack of connection or continuity
46. the amount between each number in an arithmetic sequence
48. A polynomial with two terms
49. function that helps find the missing side length of a right triangle

Down

1. a matrix with equal number of rows and columns
2. the constant ratio between any two consecutive terms in a geometric sequence
7. in a right triangle, the ratio of the adjacent side of a given acute angle to the opposite side
9. the length of a vector
10. the behavior of the graph of a function in the coordinate plane
12. the distance from the center of the circle to any point on it's circumference
14. a triangle with a 90 degree angle on one side
15. all points in a plane that are a fixed distance from a given point in the plane
16. a cornerstone of math that helps us find the missing side length of a right triangle
17. a curve or other shape made by all the points satisfying a particular equation of the relation between the coordinates
19. the set of possible output values of a function
21. The line segment whose endpoints are the vertices of a hyperbola
22. a list of items or numbers
23. there is a 'sameness' about two figures
28. a line about which a figure (or graph) is rotated in space
30. an equation where the variables (usually x and y) are expressed in terms of a third parameter, usually expressed as t
32. the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions
33. structures used to model pairwise relations between objects on a 2D plane (x,y)
41. the number when you multiply a number and a variable
44. sum of the terms in a sequence
45. the set of values that are allowed to plug into a function
47. The line segment that perpendicularly bisects the major axis of an ellipse with endpoints on the ellipse

Across

1. A courier service charges a $5 pickup fee, plus %0.15 per mile. The total charge to deliver a package was 7.85. How many miles did the courier service travel to deliver the package?
2. Margo missed 24.6 of her free throw shots in a season. During the season, she shot a total of 90 free throws. Which of the following is the best estimate of the number of free throws margo missed? 18, 12, 22, 25
5. ft(squared) A circular rug has a radius of 4 feet. Which of the following is closest to the number of square inches the rug covers? (Put squared at the end in parentheses)
6. Will side lengths like 5,5 and 9 form a triangle?
10. In PE, a parachute is laid out on the gym floor. The parachute has a radius of 16 feet. Which measurement is closest to the circumference of the parachute in feet? (Put squared at the end in parentheses)
12. Mr.Mathewson increased the amount of weight he lifted each morning from 80 pounds to 90 pounds. By what percentage did Mr.Mathewson increase the amount of weight he lifted? 12.5%, 10%, 15%, 18.5%
13. A hot air balloon travels 18 miles in 3 hours At this rate, how many miles will the hot air balloon travel in 3/4 hour?
15. Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8,000, then how much will he be charged in interest after 4 years?
17. Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds?
18. The price of a tablet was increased
19. A student takes notes in class, completes the assignments, attends tutoring, and prepares for the test. Is it likely, unlikely, impossible, or certain they will pass the test?
20. is the value of x in this equation? -4x +8 = 42

Down

1. Two triangles are supplementary to each other. If the first angle measures 58, then which of the following could be the measure of the second triangle? 122, 32, 58, 180
3. A coffee shop sign is in the shape of a circle. The sign measures 18 inches across in diameter. Which measurement is closest to the area of the sign in square inches? 56.23, 101.36,188.78,254.34 (Put squared at the end in parentheses)
4. the record low temperature in Fargo, ND is -37 F. The record high is 109 F. What is the difference in the record high and the record low areas?
7. Edgar pays $67.86 for 7.8 pounds of fertilizer. What is the price per pound of fertilizer?
8. $180 to $207,By what percentage was the price of the tablet increased?
9. A home improvement store advertises 60 square feet of flooring for $253.00, plus an additional $80.00 installation fee. What is the cost per square foot for the flooring?
10. Todd plans to swim 18 laps in the pool. Each lap is 50 yards. So far Todd has swam 738 yards. What percentage of the total has Todd completed?
11. Margie has a $50.00 budget to purchase a $45.00 pair of boots. If there is an 8% sales tax rate, then how much under budget will Margie be?
14. is buying 3.4 pounds of trail mix that costs $4.25 per pound how much will he get if he gives the casher $20.
16. 8 kids shoe measures 9 2/3 inches. IF 5 8 shoes are lined end to end, then how many inches will they cover?
17. A hospital bill is estimated to be $462.00. It ends up actually costing the patient $525.00. What is the percent error in the bill?

Across

4. A set of steps you follow to do something. Like a recipe for cooking or instructions for fixing something.
6. To use old things again so they don’t go to waste—like turning paper, plastic, or cans into new items.
10. What something is made to do or how it works. In math or coding, it’s a set of steps that gives a result.
12. Being protected from danger or harm. Like wearing a seatbelt or helmet to stay safe.
13. The way something looks and feels. It’s about beauty, style, and how things make you feel when you see them.
15. A type of plastic that melts when heated and hardens when cooled. It can be reshaped many times.
17. A type of signal or device that changes smoothly, like old clocks or radios. It’s the opposite of digital.
18. The process of looking at something carefully to decide how good, useful, or successful it is. Like when a teacher checks your homework or someone reviews a product.
20. A strong plastic used to make bottles, pipes, and containers. It stands for High-Density Polyethylene.
22. technology Using computers and machines to make things work automatically—like traffic lights, robots, or smart homes.
24. A rough material used to rub or clean surfaces. It can also describe someone who speaks in a rude or harsh way.
25. A tool used to scratch or mark lines on metal, wood, or plastic before cutting or shaping.
26. A picture that shows information or ideas—like symbols on signs or charts that everyone can understand.
27. A file format used for 3D printing. It tells the printer what shape to make by using tiny triangles.
31. To use old things again so they don’t go to waste—like turning paper, plastic, or cans into new items.
33. A simple way to write out computer instructions using plain language. It looks like code but isn’t meant to run—just to show the steps.

Down

1. To make things, usually in a factory. Like building cars, toys, or electronics in large numbers.
2. The shape or structure of something. It can also mean a paper you fill out with information.
3. Process The steps you follow to solve a problem and create something new—like planning, sketching, testing, and improving.
5. Brief A short plan that explains what a project needs to do, how it should look, and who it's for.
7. A material that stops heat, electricity, or sound from passing through. Like rubber, plastic, or foam.
8. Special glasses that protect your eyes when swimming, working, or doing science experiments.
9. A type of plastic used to make paint, fabric, or clear sheets. Acrylic paint dries fast and is used in art.
11. A type of plastic used in bottles and containers. It stands for Polyethylene Terephthalate and is easy to recycle.
14. A device that detects things like light, heat, movement, or sound and sends signals to react.
16. A trick or phrase that helps you remember something. Like “Every Good Boy Deserves Fruit” for music notes.
19. A small computer board used to build cool electronic projects, like robots or sensors. It’s popular with beginners and inventors.
21. A computer program used to design buildings, machines, or products. It stands for Computer-Aided Design.
23. A type of plastic that becomes hard when heated and can’t be melted again. It’s used in things that need to stay strong.
27. A quick drawing that shows an idea. Artists and designers use it to plan before making something final.
28. A tiny light that uses very little energy. You see them in screens, flashlights, and signs. It stands for Light Emitting Diode.
29. A path that electricity follows to power things like lights, computers, or toys.
30. The rules or standards used to decide if something is good, right, or fits the goal. Like a checklist for judging.
32. The first version of something new, made to test how it works. Like a sample of a new phone before it’s sold.

Across

4. A set of steps you follow to do something. Like a recipe for cooking or instructions for fixing something.
6. To use old things again so they don’t go to waste—like turning paper, plastic, or cans into new items.
10. What something is made to do or how it works. In math or coding, it’s a set of steps that gives a result.
12. Being protected from danger or harm. Like wearing a seatbelt or helmet to stay safe.
13. The way something looks and feels. It’s about beauty, style, and how things make you feel when you see them.
15. A type of plastic that melts when heated and hardens when cooled. It can be reshaped many times.
17. A type of signal or device that changes smoothly, like old clocks or radios. It’s the opposite of digital.
18. The process of looking at something carefully to decide how good, useful, or successful it is. Like when a teacher checks your homework or someone reviews a product.
20. A strong plastic used to make bottles, pipes, and containers. It stands for High-Density Polyethylene.
22. technology Using computers and machines to make things work automatically—like traffic lights, robots, or smart homes.
24. A rough material used to rub or clean surfaces. It can also describe someone who speaks in a rude or harsh way.
25. A tool used to scratch or mark lines on metal, wood, or plastic before cutting or shaping.
26. A picture that shows information or ideas—like symbols on signs or charts that everyone can understand.
27. A file format used for 3D printing. It tells the printer what shape to make by using tiny triangles.
31. To use old things again so they don’t go to waste—like turning paper, plastic, or cans into new items.
33. A simple way to write out computer instructions using plain language. It looks like code but isn’t meant to run—just to show the steps.

Down

1. To make things, usually in a factory. Like building cars, toys, or electronics in large numbers.
2. The shape or structure of something. It can also mean a paper you fill out with information.
3. Process The steps you follow to solve a problem and create something new—like planning, sketching, testing, and improving.
5. Brief A short plan that explains what a project needs to do, how it should look, and who it's for.
7. A material that stops heat, electricity, or sound from passing through. Like rubber, plastic, or foam.
8. Special glasses that protect your eyes when swimming, working, or doing science experiments.
9. A type of plastic used to make paint, fabric, or clear sheets. Acrylic paint dries fast and is used in art.
11. A type of plastic used in bottles and containers. It stands for Polyethylene Terephthalate and is easy to recycle.
14. A device that detects things like light, heat, movement, or sound and sends signals to react.
16. A trick or phrase that helps you remember something. Like “Every Good Boy Deserves Fruit” for music notes.
19. A small computer board used to build cool electronic projects, like robots or sensors. It’s popular with beginners and inventors.
21. A computer program used to design buildings, machines, or products. It stands for Computer-Aided Design.
23. A type of plastic that becomes hard when heated and can’t be melted again. It’s used in things that need to stay strong.
27. A quick drawing that shows an idea. Artists and designers use it to plan before making something final.
28. A tiny light that uses very little energy. You see them in screens, flashlights, and signs. It stands for Light Emitting Diode.
29. A path that electricity follows to power things like lights, computers, or toys.
30. The rules or standards used to decide if something is good, right, or fits the goal. Like a checklist for judging.
32. The first version of something new, made to test how it works. Like a sample of a new phone before it’s sold.

Across

1. Thalès, Relatifs, Statistiques, Equations, Pyramides, Cônes, Fractions, Pavages, Frises, Triangles, Puissances, Cosinus, Reciproque, Calcul, Addition, Soustraction, Division, Multiplication, Racine, Pourcentages, Aire, Volume, Proportionnalité

Down

Across

1. triangles, length, line, vertex, acute, obtuse, reflex, complementary, supplementary, revolution, vertically, opposite, scalene, equilateral, isosceles, parallel, transversal, corresponding, alternate, cointerior, quadrilaterals, polygon, pentagon, trapezium, congruent, enlargement, similar

Down

Across

4. This is a shape that winds around a central point in a continuously widening or narrowing pattern. It is often seen in objects like seashells, galaxies, or staircases. Spirals have a unique and flowing shape that can be found in nature and art.
6. This is a shape with four equal sides and four right angles. It is often seen in objects like windows, books, or dice. Squares are symmetrical and have straight lines that are all the same length.
7. This is a shape with three sides and three angles. It is often seen in objects like traffic signs, pizza slices, or roof designs. Triangles can have different types of angles, such as acute, obtuse, or right angles.
9. This is a shape often associated with love and affection. It is often seen in objects like Valentine's Day cards, balloons, or jewelry. Hearts have a curved top, two round bumps at the bottom, and a pointed tip.
13. This is a shape with four sides and four right angles. It is often seen in objects like doors, picture frames, or tablets. Rectangles have opposite sides that are equal in length and parallel to each other.
15. This is a shape with eight sides and eight angles. It is often seen in objects like stop signs, spiders' webs, or stamps. Octagons have straight lines and angles, and all sides are equal in length.
16. This is a rounded shape similar to a stretched circle. It is often seen in objects like eggs, footballs, or faces. Ovals have a curved outline, but the distance from the center is not the same in all directions.
17. This is a shape with four sides and two pairs of parallel sides. It is often seen in objects like playing cards, jewelry, or kites. Diamonds have opposite angles that are equal, and they can be turned in different orientations.
18. This is a rounded shape similar to a stretched circle. It is often seen in objects like eggs, footballs, or faces. Ovals have a curved outline, but the distance from the center is not the same in all directions.

Down

1. This is a shape often associated with Christianity and sacrifice. It is often seen in objects like churches, graveyards, or jewelry. Crosses have two intersecting lines, one vertical and one horizontal.
2. This is a shape resembling a curved moon or a banana. It is often seen in objects like Islamic symbols, moon phases, or decorative jewelry. Crescents have a curved outline that is wider in the middle and tapers at the ends.
3. This is a shape often associated with clouds in the sky. It is often seen in objects like weather symbols, drawings, or decorations. Clouds have a fluffy and irregular outline that can vary in shape and size.
5. This is a round shape with no corners or edges. It is often seen in objects like wheels, coins, or the sun. Circles are symmetrical and have a curved outline that is the same distance from the center at all points.
8. This is a shape with four sides and two pairs of parallel sides. It is often seen in objects like playing cards, jewelry, or kites. Diamonds have opposite angles that are equal, and they can be turned in different orientations.
9. This is a shape with six sides and six angles. It is often seen in objects like beehives, snowflakes, or nuts. Hexagons have straight lines and angles, and all sides are equal in length.
10. This is a shape resembling a pointed shaft with a feathered end. It is often seen in objects like signs, directions, or archery targets. Arrows have a straight line that narrows to a point at one end.
11. This is a shape with four sides and four right angles. It is often seen in objects like doors, picture frames, or tablets. Rectangles have opposite sides that are equal in length and parallel to each other.
12. This is a shape with five sides and five angles. It is often seen in objects like government buildings, stars, or school emblems. Pentagons have straight lines and angles, and all sides are not equal in length.
14. This is a shape often associated with celestial bodies and fame. It is often seen in objects like flags, decorations, or night skies. Stars have multiple points radiating outward from a central point.

Across

5. _____ _____ lines are used to indicate where an imaginary cut is made through the object (2 words)
7. Normally placed in the lower right corner of the drawing and usually include the company logo, project title, and the date the drawing was created (2 words)
9. The connection place where steel members are connected to other steel members
11. List (also called Bill of Materials) A list of the materials that are required to build an item
14. ________ lines show land boundaries
15. ________ maps describe in detail the local features of the earth’s surface
16. ________ lines show points of equal elevation
17. A high-strength vertical structural member
19. ________ lines identify the location of a specific part of the drawing – used with words, abbreviations, symbols, or keynotes
21. ________ of lines describes all the different types of lines used in a drawing
27. The relationship of the size or distance of an item on a drawing compared to the real life size of the time when an items size is reduced to fit on a particular sheet size
28. ________ drawings are architectural or working drawings used to represent a structure or system
29. ________ lines show where an object has been broken off to save space on the drawing
32. Steel member that are cut from a standard I-shape thus forming two T-Shapes
36. The actual measurement of distances, elevations and directions on the earth’s surface
38. Statements that are provided to the general contractors to define the quality of work to be done and the materials to be used
39. Steel members that are similar in shape to the letter C
42. ________ drawings include information about motors. pumps and piping systems and piping equipment
43. ________ lines identify the object of primary interest or the closest object

Down

1. ________ drawings show layout for the supply of hot and cold water, and for the sewage disposal system
2. ________ lines establish the sizes of parts if a structure – may end in arrows, dots, or slashes at a termination line drawn perpendicular to the dimension line
3. ________ drawings are generally considered to be the drawings of steel, wood, concrete and other building materials
4. A window ________ lists all the window types, frame sizes, frame finish and glazing information for all the windows in a building
6. ________ lines identify part of a structure that is not visible on the drawing
8. Traditionally printed drawings with white lines on a blue background
10. ________ drawings show an object from multiple different views
12. ________ tell what material is required for certain parts of the project
13. ________ lines show the measured centre of and object
15. A framework consisting of two horizontal members joined together by a number of veritical and/or inclined members to form a series of triangles
18. ________ drawings are enlarged views of some special features of a building
20. _______ drawings are used to illustrate the design of a project
22. Used to help reduce clutter and simplify drawings, along with a table to explain the shortening of words
23. ________ drawings show locations of the meter, distribution panel, switchgear, convenience outlets and special outlets
24. Steel members that are identified by nominal depth in inches, and weight per foot (2 words)
25. ________ drawings provide information on the Heating, Ventilation and Air Conditioning in a building (acronym)
26. ________ drawings are the vertical views of a building, especially the outside walls
30. Block Placed on the drawing to record any changes in the drawing and includes a brief description of the change, the date, and who made the change
31. _______ drawings display items as the eye sees them
33. Steel members that are similar in shape to the letter L
34. This acronym is a form to fill out if there is a discrepancy in the plans
35. A high-strength horizontal load-bearing member
37. ________ drawings provide the necessary information on the location, alignment, and elevation of a structure and its principal parts in relation to the ground at the site
40. A visual explanation of the symbols placed on a drawing
41. Allows a specific point on a drawing to be referenced or found

Across

3. lying on or passing through the same straight line
6. the cogency of evidence that compels acceptance by the mind of a truth or a fact
8. a solid that is bounded by a surface consisting of all points at a given distance from a point constituting its center
10. being or relating to a supplement or a supplementary angle
12. in the time, space, or interval that separates
14. seither of two angles lying on opposite sides of two intersecting lines
16. the cutting side of a blade
17. the boundary of a closed plane figure
18. a closed plane figure bounded by straight lines
21. a polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms
24. a polygon such that there is a straight line that cuts it in four or more points
28. the external boundary or surface of a figure or object
30. two rays with a common endpoint that form a line
31. an end or object to be achieved
32. a corner whether constituting a projecting part or a partially enclosed space
33. an angle between 90 and 180 degrees
34. a line segment extending from the center of a circle or sphere to the circumference or bounding surface
35. the act or result of construing, interpreting, or explaining
37. is a part of a line that is bounded by two end points, and contains every point on the line between its ending point
40. The two supplementary adjacent angles formed by two intersecting lines
42. a solid generated by rotating a right triangle about one of its legs
46. a chord passing through the center of a figure or body
47. lying or acting in the same plane
50. a step or stage in a process, course, or order of classification

Down

1. a level piece of ground
2. the angle bounded by two lines perpendicular to each other : an angle of 90°
4. superposable so as to be coincident throughout
5. to assume or claim as true, existent, or necessary, depend upon or start
7. a straight line that bisects an angle or a line segment
9. A polygon that has all interior angles less than 180°
11. the side of a right-angled triangle that is opposite the right angle
13. equal in rank, quality, or significance
15. immediately preceding or following
19. a length of cord or cord-like material
20. logic, and formal systems, a primitive notion is an undefined concept
22. relating to or constituting one of a pair of contrasting colors that produce a neutral color when combined in suitable proportions
23. the point opposite to and farthest from the base in a figure
25. characterized by sharpness or severity
26. standing at right angles to the plane of the horizon,exactly upright
27. a pair of angles is said to be vertical also opposite and vertically opposite, which is abbreviated as vertical opp, if the angles are formed from two intersecting lines and the angles are not adjacent
29. the surface traced by a straight line moving parallel to a fixed straight line and intersecting a fixed planar closed curve
36. a surface in which if any two points are chosen a straight line joining them lies wholly in that surface
38. a point at or near the center or middle
39. a formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions
41. a solid formed by plane faces
43. a polyhedron having for its base a polygon and for faces triangles with a common vertex
44. to distort especially from a true value or symmetrical form
45. each of the lines in which light and heat may seem to stream from the sun or any luminous body, or pass through a small opening
48. extending in the same direction, everywhere equidistant, and not meeting
49. the surface of a thing, one that is presented to the view or has a particular function, in particular

Across

5. The side opposite the right angle in a right triangle
7. The length of the boundary around a shape or a figure
9. A set of points any of whose chords do not include any point that is not in the set
13. Two straight lines that extends from a point with a common endpoint that form a line
14. The point on a line segment that divides the given line segment into two congruent parts
18. Neither parallel nor at right angles to a specified or implied line
19. Two intersecting lines that measures 90°
20. Points or lines that all lie in the same plane
26. Two intersecting lines that are the opposite each other formed by two intersecting lines
30. A line segment that passes through the center of a circle and has its two endpoints on the circle
31. A closed plane figure bounded by at least three line segments
36. A solid bounded by at least four polygonal faces
37. A pair of angles that add up to 90°
40. The boundary line of a circle or the length of such a boundary line
41. a straight line that extends from a point
42. Two intersecting lines that is less than 90 degrees but more than 0 degrees
43. A solid formed by rotating a right triangle around one of its legs
44. A closed solid bounded by a surface on which all points are equidistant from a central point called the center
45. The two supplementary adjacent angles formed by two intersecting lines
48. The highest power of the variable in a polynomial

Down

1. A line segment where two faces of a polyhedron meet
2. Has neither width nor thickness but length. It is the shortest distance between two points
3. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex
4. An additional geometric figure that is constructed to assist in solving a problem or producing a proof
6. Two intersecting lines that is between 90° and 180°
7. A flat surface that can extend forever in length and width but has no thickness
8. Lying on the same straight line
10. Two intersecting lines that are vertical on the opposite sides
11. A geometric object that has no dimension and is used to indicate a location
12. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts
15. A space figure with two parallel polygonal bases that are the same shape and the same size
16. A set of points some of whose chords include points that are in the set
17. Lines that intersect
21. The extent or measurement of a surface or piece of land
22. A definition that hasn’t been solved yet
23. The space, that is usually measured in degrees, between two intersecting lines or surfaces at or close to the point where they meet
24. A suggest or assume the existence
25. A can-shaped solid figure
27. A general conclusion that has been proved
28. Two intersecting lines that have a common ray coming out of the vertex going between two other rays
29. Two or more that add up with another angle
32. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes
33. At, into, or across the space separating
34. A planar surface of a solid figure
35. Planar figures or solid shapes that have the same shape and size
36. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms
38. Part of a line between two points called endpoints
39. A point at which the two or more rays of an angle meet
46. Lines that don’t intersect
47. The distance from the center of a shape to any point on its circumference

Across

1. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
6. A line segment between two points on the circle or sphere which passes through the center
7. when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are the same size and/or shape.
12. An angle with a measure between 0° and 90°
13. The figure formed by two rays from the same initial point.
15. Also known as unknown.
16. The boundary line of a circle or length of perimeter.
20. Both have common endpoint that form a line
23. The longest side opposite the right angle in a right triangle.
27. Two angles that share the same vertex and have one side in common between them
28. The boundary of a closed geometric figure.
29. Also called half-line. It is a straight line that extends from a point.
31. One of the two pairs of equal angles formed when two straight lines intersect each other.
32. A space figure with two parallel polygonal bases that are the same shape and the same size.
33. A tubular solid with a circular base.
36. Lying on the same straight line.
38. An angle that measures 90°
39. Part between two points called endpoints.
40. A true statement, which does not require to be proved.
41. The distance from the center of a circle to any point on its circumference.
43. A geometric object that has no dimension and is used to indicate a location.
44. Points or lines that all lie in the same plane.
46. A line segment joining two adjacent vertices in a polygon
47. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting.

Down

1. A closed plane figure bounded by at least three line segments.
2. A unit of measure used to measure the magnitude of an angle.
3. A pair of numbers that describe the position of a point on a plane by using the horizontal and vertical distances from the two axes.
4. A geometrical object that is straight, infinitely long and infinitely thin.
5. An angle that is between 90° and 180°.
8. Having one thing on either side of it.
9. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
10. At an angle of 90° to a given line, plane, or surface.
11. A flat surface that can extend forever in length and width but has no thickness.
14. If the sum of the measures of two angles is 90°
16. When at least one of the interior angles is greater than 180°
17. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
18. curved outward or toward the eye. A set of points any of whose chords do not include any point that is not in the set.
19. A planar surface of a solid figure.
21. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
22. Two angles that add up to 180°.
24. A solid bounded by at least four polygonal faces. The pairs of faces meet along their edges.
25. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
26. Opposite of each other formed by two intersecting lines.
30. The point on a line that divides the given line segment into two congruent parts.
32. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
34. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
35. A solid formed by rotating a right triangle around one of its legs.
37. The two supplementary adjacent angles formed by two intersecting lines
42. A perfect round ball. A closed solid bounded by a surface on which all points are equidistant from a central point called the center.
45. Side by side and having the same distance continuously between them.

Across

1. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
6. A line segment between two points on the circle or sphere which passes through the center
7. when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are the same size and/or shape.
12. An angle with a measure between 0° and 90°
13. The figure formed by two rays from the same initial point.
15. Also known as unknown.
16. The boundary line of a circle or length of perimeter.
20. Both have common endpoint that form a line
23. The longest side opposite the right angle in a right triangle.
27. Two angles that share the same vertex and have one side in common between them
28. The boundary of a closed geometric figure.
29. Also called half-line. It is a straight line that extends from a point.
31. One of the two pairs of equal angles formed when two straight lines intersect each other.
32. A space figure with two parallel polygonal bases that are the same shape and the same size.
33. A tubular solid with a circular base.
36. Lying on the same straight line.
38. An angle that measures 90°
39. Part between two points called endpoints.
40. A true statement, which does not require to be proved.
41. The distance from the center of a circle to any point on its circumference.
43. A geometric object that has no dimension and is used to indicate a location.
44. Points or lines that all lie in the same plane.
46. A line segment joining two adjacent vertices in a polygon
47. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting.

Down

1. A closed plane figure bounded by at least three line segments.
2. A unit of measure used to measure the magnitude of an angle.
3. A pair of numbers that describe the position of a point on a plane by using the horizontal and vertical distances from the two axes.
4. A geometrical object that is straight, infinitely long and infinitely thin.
5. An angle that is between 90° and 180°.
8. Having one thing on either side of it.
9. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
10. At an angle of 90° to a given line, plane, or surface.
11. A flat surface that can extend forever in length and width but has no thickness.
14. If the sum of the measures of two angles is 90°
16. When at least one of the interior angles is greater than 180°
17. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
18. curved outward or toward the eye. A set of points any of whose chords do not include any point that is not in the set.
19. A planar surface of a solid figure.
21. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
22. Two angles that add up to 180°.
24. A solid bounded by at least four polygonal faces. The pairs of faces meet along their edges.
25. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
26. Opposite of each other formed by two intersecting lines.
30. The point on a line that divides the given line segment into two congruent parts.
32. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
34. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
35. A solid formed by rotating a right triangle around one of its legs.
37. The two supplementary adjacent angles formed by two intersecting lines
42. A perfect round ball. A closed solid bounded by a surface on which all points are equidistant from a central point called the center.
45. Side by side and having the same distance continuously between them.

Across

3. / is a point of concurrency of the triangle
4. / respectfully plural of Minimum.
6. / mathematical sum or standard deviation.
8. / approximate in the sum of its terms toward a definite limit.
9. Methods / use of graphs and-or pictures as the main technique for solving a math problem.
10. Series / the divergent infinite series.
13. / a three-dimensional figure whose plane sections are ellipses or circles.
15. / the second derivative of the position function.
17. / does not converge, does not settle towards some value.
18. / the limit of f(x) as x approaches a from either direction is equal to f(a), as long as a is in the domain of f(x)
22. / can be approached in two different ways. One is geometrical (as a slope of a curve) and the other one is physical (as a rate of change).
25. / the extension of calculus in one variable to calculus with functions of several variables:
26. Integral / is defined to be exactly the limit and summation that we looked at in the last section to find the net area between a function and the x-axis. Also note that the notation for the definite integral is very similar to the notation for an indefinite integral.
27. Spiral / a logarithmic spiral whose growth factor is φ, the golden ratio.
28. / describe or represent in terms of a parameter or parameters.
32. / identical or consistent.
34. / a low triangular area of alluvial deposits where a river divides before entering a largerbody of water
35. / are infinitely small quantities.
36. Term / algebraic expression that has a value that is constant or cannot change.
37. / the maximum or minimum value of a function.
40. Method / also known as the method of disks or rings, is a way to calculate the volume of a solid of revolution by taking the sum of cross-sectional areas of infinitesimal thickness of the solid
41. / a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line
42. / is the sum of the various numbers, or elements of a sequence.
43. / sometimes also called a coil, is a curve for which the tangent makes a constant angle with a fixed line.
44. / to have or take a turn, change, or deviation from a straight line or plane surface without sharp breaks or angularity

Down

1. / are quantities that are fully described by a magnitude (or numerical value) alone
2. Number / are values of x at which or does not exist.
3. / branch of mathematics that deals with the finding and properties of derivatives and integrals of functions.
5. / the idea of something that has no end. In our world we don't have anything like it.
7. / respectfully plural of Maximum.
11. / the extension of calculus in one variable to calculus with functions of several variables.
12. Rule / a rule for differentiating compositions of functions.
14. / "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication.
16. Trig / study of hyperbolic triangles in hyperbolic geometry.
19. / the product of an integer and all the integers below it.
20. / a limiting case in which a class of object changes its nature so as to belong to another
21. / statement that has been proved on the basis of previously established statements, such as other theories, and generally accepted statements, such as axioms.
23. / function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
24. / the value that a function or sequence "approaches" as the input or index approaches some value.
29. / first derivative of the position function function.
30. Rule / fairly simple rule that helps you find the derivative of a variable raised to a power.
31. / curved inwards or there are "dents" or indentations in it
33. / a mathematical object that can be interpreted as an area or a generalization of area.
38. / width of the largest sub-interval in a partition.
39. / the fifth letter of the Greek alphabet ( Ε, ε ), transliterated as ‘e.’.
42. Field / also called vector fields or direction fields.

Across

1. two functions, one contained within the other
6. a way of sharing work according to proportions
8. a squared plus b squared equals c squared
12. what we do to fractions and expressions if we can
14. two equations at the same time
15. a number in a given number's times tables
16. outside of a 3D shape
18. two lines with the same gradient
20. the middle of two coordinates
22. algebra not equal to anything
23. changes the size of the shape
24. meets the radius of a circle at a right angle
25. multiply out brackets
30. set of instructions in boxes used in equations
32. the inverse of squaring
34. put into brackets
37. shapes that are enlargements of each other
40. probability from an experiment
41. multiply a number by this and the answer is always 1
43. bearings must have this many digits
44. where a graph crosses the axis
45. points equal distances away (shows all possible locations)
46. solvable algebra
47. bearings are measured...
48. form writing big and small numbers with powers of 10
50. a whole number
51. data someone else collects
52. describes patterns in scatter graphs
54. adjacent/hypotenuse
58. 3D drawings, never with horizontal lines
59. expression that factorises to (x+a)(x-a)
61. circular diagram that shows possible combinations
63. your go to for work with probability
65. bearings are measured from..
66. angle in parallel lines
67. hcf
69. circumference of a circle
70. area of any triangle (using trig)
73. straight line graph
74. described with a vector
75. sequence that increases by multiplying or dividing
76. only has two factors
79. point you plot
82. space a 3D shape takes up
87. proper description of bow tie theorem
89. irrational number involved with square roots
90. data that doesn't fit
91. line through the centre of a circle
93. opposite/hypotenuse
94. shapes that are exactly the same
96. opposite angles in a cyclic quadrilateral add to
97. part of a circle enclosed by the radius
98. set of instructions used in iteration
100. integer and a fraction
101. algebra to show things aren't equal
103. how a shape or graph changes
105. part of a circle enclosed by a chord
106. transformation in a number line

Down

1. line through a circle but not through the centre
2. repeated instructions on a calculator
3. how steep a line is
4. calculation after rounding to get close to the answer
5. need to know centre, direction and angle
7. outcomes that can't happen at the same time
9. when a decimal repeats
10. trig you use when working with 2 angles
11. longest side in a right angled triangle
13. gradients are the negative reciprocal
17. space a 2D shape takes up
19. IQR often used with cumulative frequency diagrams
21. sin90
26. data you collect
27. write a quadratic in the form (ax+b)^2 +c
28. angle in parallel lines
29. describes size of enlargement
31. a number multiplied by itself
33. important value you round to
35. events that don't affect each other
36. smiley/sad face graph
38. line from circumference to the centre of a circle
39. a number that divides into a given number
42. a number multiplied by itself three times
49. lcm
53. sequence that increases by adding or subtracting
55. algebra that is always true
56. cos90
57. area of a circle
60. top heavy fraction
62. trigonometry in right angled triangles
64. an accurate guess
68. out of 100
71. you substitute values into this
72. percentage problem that shows change over time
77. formula for area is 1/2h(a+b)
78. if a value has been rounded we state these
80. what a completed square shows you on a graph
81. angle relating to 360/n
83. the inverse of cubing
84. triangle with 2 equal sides and 2 equal angles
85. cut a line in half
86. trig you use when working with 1 angle
88. all possible outcomes
92. the opposite
95. when fractions are equal
99. describes direction usually used in navigation
102. used in rotational symmetry
104. part of the circumference

Across

1. Moves material forming triangles with the wind recurrently all own ego, oddly Soho or reeds find great value next to it, even an uneven dark iffy tent. (9,5)

Down

Across

2. A closed solid bounded by a surface on which all points are equidistant from a central point called the center
3. A flat surface that can extend forever in length and width but has no thickness
4. A suggest or assume the existence
5. polygon a set of points some of whose chords include points that are in the set
7. the space, that is usually measured in degrees, between two intersecting lines or surfaces at or close to the point where they meet
9. A general conclusion that has been proved
10. The side opposite the right angle in a right triangle
12. A planar surface of a solid figure
14. Planar figures or solid shapes that have the same shape and size
15. A space figure with two parallel polygonal bases that are the same shape and the same size
16. A line segment that passes through the center of a circle and has its two endpoints on the circle
18. The two supplementary adjacent angles formed by two intersecting lines
21. two intersecting lines that is less than 90 degrees but more than 0 degrees
23. two intersecting lines that have a common ray coming out of the vertex going between two other rays
24. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex
27. A pair of angles that add up to 90°
31. Two or more that add up with another angle
33. Two straight lines that extends from a point with a common endpoint that form a line
34. a straight line that extends from a point
35. An additional geometric figure that is constructed to assist in solving a problem or producing a proof
36. The boundary line of a circle or the length of such a boundary line
39. Part of a line between two points called endpoints
42. Two intersecting lines that measures 90°
43. Two intersecting lines that are vertical on the opposite sides

Down

1. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts
4. A solid bounded by at least four polygonal faces
5. A can-shaped solid figure
6. A point at which the two or more rays of an angle meet
8. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes
11. The highest power of the variable in a polynomial
13. A definition that hasn’t been solved yet
14. Points or lines that all lie in the same plane
17. The point on a line segment that divides the given line segment into two congruent parts
19. the extent or measurement of a surface or piece of land
20. Lines that don’t intersect
22. Two intersecting lines that are the opposite each other formed by two intersecting lines
25. Lines that intersect
26. at, into, or across the space separating
28. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms
29. A geometric object that has no dimension and is used to indicate a location
30. a solid formed by rotating a right triangle around one of its legs
31. Neither parallel nor at right angles to a specified or implied line
32. The length of the boundary around a shape or a figure
36. a set of points any of whose chords do not include any point that is not in the set
37. The distance from the center of a shape to any point on its circumference
38. A line segment where two faces of a polyhedron meet
40. Two intersecting lines that is between 90° and 180°
41. Lying on the same straight line
44. A closed plane figure bounded by at least three line segments
45. Has neither width nor thickness but length. It is the shortest distance between two points

Across

6. of or pertaining to two numbers related by a congruence.
7. Being an equal distance apart everywhere:
8. A plane shape (two-dimensional) with straight sides.
11. An angle whose measure is greater than 90° and less than 180°
12. bring the different elements of (a complex activity or organization) into a relationship that will ensure efficiency or harmony.
14. a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
15. Passing through or lying on the same straight line.
17. The measure of an angle with a measure between 0° and 90° or with less than 90° radians.
21. Passing through or lying on the same straight line.
22. a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two points
25. Either of two angles having a common side and a common vertex.
28. a line segment extending from the center of a circle or sphere to the circumference or bounding surface
30. The boundary line of a circle.
34. Something that indicates a border or limit.
36. neither parallel nor at right angles to a specified or implied line; askew; crooked
37. any of a series of steps or stages, as in a process or course of action
39. a solid generated by rotating a right triangle about one of its legs —called also right circular cone
41. A solid bounded by polygons
43. Two rays with a common endpoint that point in opposite directions and form a straight line.
45. being or operating in the same plane
46. to assume as a postulate.
48. the outside limit of an object, area, or surface; a place or part farthest away from the center of something.
49. A line which starts at a point with given coordinates, and goes off in a particular direction to infinity, possibly through a second point.

Down

1. Mathematics The point of a line segment or curvilinear arc that divides it into two parts of the same length.
2. the side of a right-angled triangle that is opposite the right angle
3. completing or enhancing something.
4. When two lines intersect, four angles are formed. The angles that are directly opposite to each other are called Opposite Angles.
5. a corner whether constituting a projecting part or a partially enclosed space
9. A Face is a flat surface of a three-dimensional figure.
10. a special kind of point that describes the corners or intersections of geometric shapes.
13. Vertical Angles are the angles opposite each other when two lines cross.
16. Something that indicates a border or limit.
18. A geometrical object that is straight, infinitely long and infinitely thin
19. A precise location or place on a plane. Usually represented by a dot.
20. can bisect lines, angles, and more.
23. The geometry of planar figures.
24. The line that divides something into two equal parts.
26. A polygon that has one or more interior angles greater than 180°
27. straight line which links two points without extending beyond them
29. in the period separating
31. an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
32. without fixed limits; indefinite in form, extent, or application
33. the act or result of construing, interpreting, or explaining
34. A prism is a polyhedron, with two parallel faces called bases. The other faces are always parallelograms. The prism is named by the shape of its base.
35. is one of the most basic curvilinear geometric shapes,
38. a round solid figure, or its surface, with every point on its surface equidistant from its center.
40. Two angles that are adjacent (share a leg) and supplementary (add up to 180°)
41. A pyramid is a polyhedron with one face (known as the "base") a polygon and all the other faces triangles meeting at a common polygon vertex
42. the length of a straight line through the center of an object
44. is a deductive argument for a mathematical statement
47. any particular extent of space or surface

Across

3. A can-shaped solid figure.
4. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting. They lie in different planes.
5. polygon When at least one of the interior angles of a polygon is greater than 180°, it is a concave polygon. The inside surface of a bowl is concave when viewed from above.
6. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
9. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
12. Also called half-line. It is a straight line that extends from a point.
15. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
17. Two or more straight coplanar lines that do not intersect.
18. A plane figure bounded by three or more straight-line sides
19. The boundary line of a circle or the length of such a boundary line.
24. The outside of a circle or an ellipse is the convex side; so is the outer surface of a sphere.
27. a flat surface that extends indefinitely
28. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
30. Two angles that add up to 180°.
34. The pair of angles opposite each other formed by two intersecting lines.
36. Having one thing on either side of it.
37. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
39. Part of a line between two points called endpoints.
41. The distance from the center of a circle to any point on its circumference.
42. Lying on the same straight line.
43. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
45. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
46. A pair of adjacent angles formed by intersecting lines
49. A planar surface of a solid figure.

Down

1. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
2. The longest side opposite the right angle in a right triangle
7. An angle that is between 90° and 180°.
8. A perfect round ball. A sphere is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.
10. Two rays sharing a common endpoint. Angles are typically measured in degrees or radians.
11. Two angles in a plane which share a common vertex and a common side but do not overlap. Angles 1 and 2 below are adjacent angles.
13. Two things that are located or facing directly across from each other
14. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
16. A three-dimensional figure bounded by plane polygonal faces.
20. Points or lines that all lie in the same plane.
21. The point on a line segment that divides the given line segment into two congruent parts.
22. The length of the boundary around a shape or a figure.
23. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
25. One of the two pairs of equal angles formed when two straight lines intersect each other.
26. An initial proposition or statement that is generally accepted as true without proof
29. An angle that measures 90°
31. The path of a point moving in opposite directions infinitely
32. Two rays sharing a common endpoint. Angles are typically measured in degrees or radians.
33. If the denominator of a fraction is 0, then the fraction is undefined.
35. If the sum of the measures of two angles is 90°.
38. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
40. A point shared by three or more sides of a solid figure.
44. The surface included within or needed to cover the surface.
47. A straight line along which two faces of a solid meet.
48. A geometric object that has no dimension and is used to indicate a location.

Across

1. There are 4 philosophy and 3 fiction books on the bookshelf. Philosophy books should be placed on the left side of the bookshelf and fiction books on the right side. How many ways are there to arrange the books?
2. A license plate begins with three letters. If the possible letters are C, A, T, C, and H, how many different permutations of the letters mentioned can be created if no letter is used more than once?
3. There are 5 men and 5 women in an office. A customer went in and requested a site visit from a group of 2 men and 3 women. How many different groups can be formed from the office?
5. A basketball team has 12 players, there are always basketball players on the court. How many different groups of players can play on the court at any one time?
9. If an elementary class has 13 students, how many different arrangements can 6 students give a presentation to the class?
11. In how many ways can the letters in the word MISSISSIPPI be arranged if the P's are together?
13. There are 15 players in a game at a birthday party, players should be taken 3 at a time. In how many ways can the host choose the players?
14. 7 fruits can be put in a salad but only 4 can be chosen. How many ways can we do this
15. A permutation lock will open if the right choice of 3 numbers (from 1 to 20) is selected. How many lock permutations can be made assuming no number is repeated?
17. A museum has 8 sculptures made by Michelangelo and wants to arrange 5 of them on the same wall. In how many ways are there to arrange the sculptures?
18. In how many ways can the letter of the word CRINGE be arranged?
20. There are 2 girls and 4 boys in a pictorial. They are supposed to sit in a line where the 2 girls are on the ends. How many different ways can they be arranged?
21. How many different linear arrangements of the letters from the word PIZZERIA can be created?
22. A set containing 7 elements which are N, E, T, W, O, R, and K. In how many different ways can 3 elements be selected out of the total number of elements without repetition?
23. There are 12 points selected on a circle. How many triangles with edges in these points exist?

Down

1. In how many ways can you arrange 4 green balls, 3 red balls, and 2 pink balls? Take note that the balls of the same color are identical.
3. There are 4 girls and 5 boys in a class, these students are assigned to sit in a line. However, the 4 girls chose to always sit together. In how many different ways can they be arranged?
4. In how many ways can you arrange the letters from the word LOLLIPOP?
5. In how many ways can a president, a vice president, and a secretary be chosen from among 10 candidates?
6. A kpop group has 9 options of songs, but they only have to perform 3 of them. How many different ways can they do this (the order matters)?
7. In a shop, there is a set of 5 candies. In how many ways can 2 candies be selected from the set without repetition?
8. A customer buys a family-sized meal at a certain restaurant, he gets to choose 3 side dishes from 9 options. The customer is going to choose 3 different side dishes. How many ways can he possibly group the 3 side dishes?
10. In how many ways can the letters of the word MATHEMATICS be arranged?
11. How many combinations can the 7 colors of the rainbow be grouped into groups of 3 colors each?
12. In how many ways can the letters from the word BALLS be arranged if the L's are together?
14. A horse race has 16 horses. How many different ways can the 1st, 2nd, and 3rd place occur (the order matters)?
16. How many committees of 4 can be created from a group of 20 students?
17. In how many ways can 5 children, and three of them are always together be arranged in a line?
19. How many different ways can 4 cards be dealt from a deck of 52 cards?

Across

1. There are 4 philosophy and 3 fiction books on the bookshelf. Philosophy books should be placed on the left side of the bookshelf and fiction books on the right side. How many ways are there to arrange the books?
4. How many different linear arrangements of the letters from the word PIZZERIA can be created?
5. In how many ways can the letters in the word MISSISSIPPI be arranged if the P's are together?
7. If an elementary class has 13 students, how many different arrangements can 6 students give a presentation to the class?
11. 7 fruits can be put in a salad but only 4 can be chosen. How many ways can we do this
12. There are 2 girls and 4 boys in a pictorial. They are supposed to sit in a line where the 2 girls are on the ends. How many different ways can they be arranged?
13. In how many ways can the letter of the word CRINGE be arranged?
15. How many committees of 4 can be created from a group of 20 students?
16. In how many ways can you arrange the letters from the word LOLLIPOP?
17. In a shop, there is a set of 5 candies. In how many ways can 2 candies be selected from the set without repetition?
18. A license plate begins with three letters. If the possible letters are C, A, T, C, and H, how many different permutations of the letters mentioned can be created if no letter is used more than once?
19. A basketball team has 12 players, there are always basketball players on the court. How many different groups of players can play on the court at any one time?
21. A set containing 7 elements which are N, E, T, W, O, R, and K. In how many different ways can 3 elements be selected out of the total number of elements without repetition?
22. A permutation lock will open if the right choice of 3 numbers (from 1 to 20) is selected. How many lock permutations can be made assuming no number is repeated?
23. There are 12 points selected on a circle. How many triangles with edges in these points exist?

Down

1. In how many ways can you arrange 4 green balls, 3 red balls, and 2 pink balls? Take note that the balls of the same color are identical.
2. There are 5 men and 5 women in an office. A customer went in and requested a site visit from a group of 2 men and 3 women. How many different groups can be formed from the office?
3. There are 4 girls and 5 boys in a class, these students are assigned to sit in a line. However, the 4 girls chose to always sit together. In how many different ways can they be arranged?
4. In a restaurant, you wanted to choose 3 desserts from a menu that contains 10 desserts. How many ways can you order three desserts disregarding the arrangement of your order?
5. A museum has 8 sculptures made by Michelangelo and wants to arrange 5 of them on the same wall. In how many ways are there to arrange the sculptures?
6. In how many ways can 5 children, and three of them are always together be arranged in a line?
8. There are 15 players in a game at a birthday party, players should be taken 3 at a time. In how many ways can the host choose the players?
9. In how many ways can the letters of the word MATHEMATICS be arranged?
10. A kpop group has 9 options of songs, but they only have to perform 3 of them. How many different ways can they do this (the order matters)?
11. How many combinations can the 7 colors of the rainbow be grouped into groups of 3 colors each?
13. In how many ways can a president, a vice president, and a secretary be chosen from among 10 candidates?
14. A customer buys a family-sized meal at a certain restaurant, he gets to choose 3 side dishes from 9 options. The customer is going to choose 3 different side dishes. How many ways can he possibly group the 3 side dishes?
17. How many different ways can 4 cards be dealt from a deck of 52 cards?
20. In how many ways can the letters from the word BALLS be arranged if the L's are together?
21. A horse race has 16 horses. How many different ways can the 1st, 2nd, and 3rd place occur (the order matters)?

Across

3. A 2D four-sided shape that has two equal length opposite sides and two bases that are different lengths but parallel.
5. A small insect that’s colored red with black and white spots. They eat leaves and small bugs called aphids.
8. The line segments that join one vertex to another, where a shape’s faces meet. They are found on 3D objects. Similar to the way 2D shapes are outlined with sides, these are what outline a 3D object.
9. A state of matter when something is fluid and not solid.
13. Green pieces of paper that vary in design and value. Another name for it would be a bill or cash.
15. A 3D object that has two circular bases and no edges, and similar to a cone, has one continuous face that wraps around one base and connects around the other. An example of one in real life would be a pipe, or a soda can.
18. A measurement of the space between two rays or line segments in a shape, essentially how open or spread the two lines are. They are measured in degrees.
22. A 3-sided shape. It looks like an arrowhead.
23. A 4-sided shape with straight and equal sides. Its shape is commonly seen in a kite.
24. A 2D six-sided shape with congruent sides.
26. A 3D object that has a circular base and 1 continuous face that wraps around the base and meets at a single point. It has no edges. An example of them in real life would be the pointy orange objects you see in traffic.
27. A 3D object with triangle faces and a square base. An example of one in real life would be an Ancient Wonder of the World, located in Egypt.
28. The third and last stage in the water cycle, when water/water vapor collects in clouds and comes down as rain, hail, snow, etc.
30. The second stage in the water cycle, when gas collects together and turns into a liquid.
32. A solid shape with 6 faces. It is a 3D object, and one example would be a box or a Rubix ___. Its faces are squares.
33. A flowering plant that monarch butterflies need for survival.

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1. An insect with a long narrow brightly colored body and two pairs of transparent wings. Some other names for them would be darners or skimmers.
2. A line segment that joins two points to form a 2D or 3D shape.
4. A 4-sided shape that has all equal, straight sides.
6. A kind of fly that sucks blood and spreads diseases like malaria. They give you bug bites.
7. A state of matter, when something is firm in shape.
10. The most common kind of insect. They usually have 6 legs, live outside, and are small. Examples would be the ladybug, the firefly, and the mealworm.
11. A closed shape with 1 continuous curved side.
12. A currency used for buying things.
14. A small insect that’s colored black and yellow, and can sometimes appear fluffy. They buzz, collect nectar from flowers, and can sting if you get too close to them.
16. A flat or curved surface on a 3D shape. They are only found on 3D shapes. For example, a cube has 6 of them.
17. The first stage in the water cycle, when water turns into water vapor and becomes a cloud.
19. A closed 2D drawing with sides. Examples would be squares, rectangles, circles, triangles, and more.
20. A fancy name for spiders.
21. Small, flat, pieces of metal that vary in size depending on value. Examples would be quarters, nickels, pennies, etc.
25. An 2D eight-sided shape with congruent sides.
27. A 2D five-sided shape with congruent sides.
29. A 4-sided shape. It has 4 straight sides and 4 right angles. It looks like a box.
30. The form a butterfly takes before it transforms into a butterfly through spinning its cocoon. They appear small and green, with yellow and orange spots, and can eat huge amounts of leaves.
31. An arachnid with 8 legs that crawls and spins webs. They catch small insects inside their webs and eat them.

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1. simple operation in which a number is added onto another number
4. quantity that expresses the extent of a region on the plane or on a curved surface
7. a mathematical function that is the inverse of the cosine function
10. f'(g(x))g'(x)
11. a numerical quantity that is not a whole number
13. Obtaining the derivative of a function
14. a line that continually approaches a given curve but does not meet it at any finite distance
16. the graph lies below its tangent lines
17. branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles
22. the graph lies above its tangent lines
26. a value that a function approaches the output for the given input values
28. number that is expressed in terms of the square root of a negative number represented by i
31. a point of a curve at which a change in the direction of curvature occurs
34. highest point of a specified interval of a graph
35. a mathematical function that is the inverse of the tangent function
38. a mathematical object that can be interpreted as an area or a generalization of area
39. a graphical representation of the solutions to a first-order differential equation of a scalar function
41. branch of mathematics that deals with the finding and properties of derivatives and integrals of functions by methods originally based on the summation of infinitesimal differences
45. quantity representing the power to which a given number or expression is to be raise
46. a mathematical function that is the inverse of the sine function
47. Finding the derivative of the numerator and denominator to evaluate the limit of a function
48. for a given planar arc between two endpoints there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints
49. an integration rule that evaluates the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles
50. cool math teacher that gives people doughnuts occasionally

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2. The slope of the line tangent to the function
3. simple operation in which a number is taken away from another number
4. the change in velocity over the change in time
5. a differentiable function F whose derivative is equal to the original function f
6. A point at which the graph of the function is not continuous
8. Where the function changes from concave up to concave down or vice versa
9. When the graph of the function is continuous
12. lowest point of a specified interval of a graph
15. Rates of change are related by differentiation
18. straight line that just touches the curve at that point
19. a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface
20. process of combining matrices vectors or other quantities under specific rules to obtain their product
21. The rate of change in the position of an object
23. a point in the domain of the function where the function is either not differentiable or the derivative is equal to zero
24. Lowest point of a function
25. (uv)= u'v + uv'
27. the region bounded by the function we're working with vertical lines representing the function's bounds and the x-axis
29. simple operation in which a number is divided
30. a number greater than any assignable quantity or countable number
32. the cumulative sum of a given sequence of terms
33. Highest point of a function
36. when the two-sided limit doesn't exist because the one-sided limits aren't equal
37. a point at which two branches of a curve meet such that the tangents of each branch are equal
40. yummy treats that are given by cool math teacher occasionally
42. the magnitude of a real number without regard to its sign
43. a relation of the form R = 0 where R is a function of several variables
44. a first-order numerical procedure for solving ordinary differential equations with a given initial value

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4. is a framework consisting of two horizontal members joined together by a number of veritical and/or inclined members to form a series of triangles
5. Flanges are steel members that are identified by nominal depth in inches, and weight per foot
7. drawings show locations of the meter, distribution panel, switchgear, convenience outlets and special outlets
9. drawings show layout for the supply of hot and cold water, and for the sewage disposal system
10. drawings provide the necessary information on the location, alignment, and elevation of a structure and its principal parts in relation to the ground at the site
15. are statements that are provided to the general contractors to define the quality of work to be done and the materials to be used
17. this acronym is a form to fill out if there is a discrepancy in the plans
19. drawings show an object from multiple different views
22. is the relationship of the size or distance of an item on a drawing compared to the real life size of the time when an items size is reduced to fit on a particular sheet size
24. lines identify part of a structure that is not visible on the drawing
25. drawings provide information on the Heating, Ventilation and Air Conditioning in a building
26. lines identify the object of primary interest or the closest object
27. are used to help reduce clutter and simplify drawings, along with a table to explain the abbreviations
29. lines show the measured centre of and object
32. drawings are generally considered to be the drawings of steel, wood, concrete and other building materials
35. is the actual measurement of distances, elevations and directions on the earth’s surface
36. is the connection place where steel members are connected to other steel members
37. is a visual explanation of the symbols placed on a drawing
40. List (also called Bill of Materials) is a list of the materials that are required to build an item
42. lines establish the sizes of parts if a structure – may end in arrows, dots, or slashes at a termination line drawn perpendicular to the dimension line
43. drawings are the vertical views of a building, especially the outside walls
44. drawings are enlarged views of some special features of a building

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1. drawings are used to illustrate the design of a project
2. are traditionally printed drawings with white lines on a blue background
3. Block is placed on the drawing to record any changes in the drawing and includes a brief description of the change, the date, and who made the change
6. are steel members that are similar in shape to the letter L
8. lines are used to indicate where an imaginary cut is made through the object (2 words)
11. lines show where an object has been broken off to save space on the drawing
12. lines identify the location of a specific part of the drawing – used with words, abbreviations, symbols, or keynotes
13. is normally placed in the lower right corner of the drawing and usually include the company logo, project title, and the date the drawing was created (2 words)
14. drawings include information about motors. pumps and piping systems and piping equipment
16. lines show points of equal elevation
18. displays items as the eye sees them
20. drawings are architectural or working drawings used to represent a structure or system
21. of lines describes all the different types of lines used in a drawing
23. is a high-strength vertical structural member
28. tell what material is required for certain parts of the project
30. lines show land boundaries
31. allows a specific point on a drawing to be referenced or found
33. maps describe in detail the local features of the earth’s surface
34. is a high-strength horizontal load-bearing member
38. are steel member that are cut from a standard I-shape thus forming two T-Shapes
39. are steel members that are similar in shape to the letter C
41. A window ________ lists all the window types, frame sizes, frame finish and glazing information for all the windows in a building

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2. this cycle of viral infection terminates with the death of the host cell as viral particles are released
4. the immunity which results from the production of antibodies by the immune system in response to the presence of an antigen.
6. (infection) are those diseases with a long incubation period, often years.
9. viruses can be responsible for the development of tumor cells, after the initial infection event
11. (virions)
12. a person or other organism that has become infected with a pathogen, but who display no signs nor symptoms.
14. is the specific interaction of the viral coat with a host cell receptor
16. (bodies) are nuclear or cytoplasmic aggregates of proteins, usually representative of viral multiplication
17. (transmission) is the transmission of pathogens between members of the same species that are not in a parent-child relationship
19. (immunity) the resistance to the spread of a contagious disease within a population that results if a sufficiently high proportion of individuals are immune to the disease, especially through vaccination
20. is where the immune system causes disease symptoms as a reaction to the presence of the virus, rather than the virus directly killing the cell
23. is the mechanism by which an antibody attaches to receptor, blocking the virus binding to the host cell
24. the process by which viruses of the same species, which are not identical, swap gene segments
26. the T-cells responsible for killing virus-infected host cells
27. one unit that makes up the viral protein shell. They self-assemble to form the final shape
28. (variants) refers to the mechanism by which an infectious agent alters its surface proteins in order to avoid a host immune response
30. cycle is when the virus that has infected a cell attaches itself to the host DNA and, acting like an inert segment of the DNA, replicates when the host cell divides
33. the structure some viruses possess that are typically derived from portions of the host cell membranes
34. the combined genome and protein structure of a virus
37. MHC proteins specific for presenting viral antigens
38. the taking in of matter by a living cell by invagination of its membrane to form a vacuole.
39. a protein released by animal cells, usually in response to the entry of a virus, which has the property of inhibiting virus replication.
40. (of nucleic acid) is whether it contains the same basepairs as the mRNA, or the complementary sequence

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1. (period) the time when no virus particles are detected within the infected cell
3. an enzyme that catalyzes the synthesis of a complementary RNA molecule using an RNA template.
5. (transmission) is the Passage of a pathogen from mother to baby during the period immediately before and after birth
7. the envelopment of a viral core by a cellular membrane containing viral glycoproteins and subsequent membrane fission to release the particle from the membrane
8. this infection affects the entire body, rather than a single organ or body part
10. having a single set of unpaired chromosomes.
13. 2 viruses infect a cell, but one is mutated and has a non-functional protein. The nonmutated virus helps the mutant by making protein for both viruses
15. (effect) is used to describe damage on the morphology and/or function of an infected cell
18. the protein shell of a virus that encloses the nucleic acid
21. cells are needed to destroy cells infected by many different virus and are nonspecific
22. is the antibody type that when present, can diagnose a current infection
25. (weakened) variants can’t cause disease due to mutations, but can be used for vaccination
29. infections are characterized by the lack of detectable infectious virus between episodes of recurrent disease
31. (symmetry) the protein subunits and the nucleic acid are arranged in a helix
32. (symmetry) subunits are arranged in the form of a hollow, quasi spherical structure, with the genome within, made up of 20 triangles
35. containing two complete sets of chromosomes
36. (genome) divided into multiple pieces, each of which encodes one or more open reading frames

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2. A strategy for finding the local maxima and minima of a function subject to equality constraints
4. A series of algorithms that endeavors to recognize underlying relationships in a set of data
8. A function that outputs the rate at which another function is changing at a given point
15. A mathematical operation that is the reverse of differentiation
18. Two lines that intersect to form right angles
20. A generalization of the notion of a fiber bundle
26. An arrangement of objects in a specific order
27. The numerical factor in a term of an algebraic expression
28. A theoretical device that manipulates symbols on a strip of tape
29. An integral concept that extends the simple concept of area
31. The longest side of a right-angled triangle
32. A quantity that has both magnitude and direction
33. A triangle where all sides are equal
37. A partitioning of a plane into regions based on distance to points in a specific subset of the plane
38. A rectangular array of numbers or symbols
40. Two structures that have the same form or structure
43. A branch of mathematics initiated by Évariste Galois that provides a connection between field theory and group theory
44. A scalar associated with a linear system of equations
46. This property allows you to multiply a sum by multiplying each addend separately and then add the products
49. A mathematical tool for studying holes in shapes
51. A generalization of the concept of Euclidean space
54. A fractal with an uncountably infinite number of points, but zero measure
56. The study of counting, arrangement, and combination
57. A number that can be expressed as a fraction
58. A sequence where the difference between any two terms can be made arbitrarily small
59. A non-orientable surface with no identifiable inner and outer sides
60. A property of operations where the result can depend on the order of the operands

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1. The product of all positive integers up to a certain number
3. A sequence of integers where the difference between any two elements is unique
5. A one-dimensional complex manifold
6. A point at which a mathematical object is not defined or not "well-behaved"
7. The root of a number
9. A way of defining derivatives of functions that are not necessarily differentiable in the classical sense
10. A mathematical concept in the fields of multivariable calculus, differential topology, and tensors
11. The study of relationships involving lengths and angles of triangles
12. A property of functions that preserve the action of a group
13. A step-by-step procedure to solve a problem
14. An ordered list of numbers
16. A line touching a curve at a single point without crossing over
17. A polynomial of degree
19. If multiplied, it results in the identity
21. An algebraic expression or equation with more than one term
22. A measure of how spread out a set of numbers are
23. The smallest convex set that contains all points of a given set
24. A function that is both one-to-one and onto
25. A vector that does not change direction under a given linear transformation
30. A stochastic model describing a sequence of possible events
34. A line that a curve approaches, as it heads towards infinity
35. The graph of a quadratic function
36. The likelihood of a particular event happening
39. A number that cannot be expressed as a simple fraction
41. A continuous transformation from one function to another
42. The operation that switches the row and column indices of a matrix
45. A type of equation that involves derivatives
47. A group in which the operation is commutative
48. A linear ordering of vertices in a directed acyclic graph
50. A set endowed with a structure that allows definition of continuity
52. A continuous, bijective, inversely continuous function
53. A function that counts the positive integers up to a given integer n that are relatively prime to n
55. A mathematical space that is locally Euclidean

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2. Points or lines that all lie in the same plane.
5. A set of numerical values that define the position of a point.
6. The longest side opposite the right angle in a right triangle.
7. Part of a line between two points called endpoints.
11. A solid bounded by at least four polygonal faces.
12. Assist in solving a problem or producing a proof.
13. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
14. The path of a point moving in opposite directions infinitely. A line has neither width nor thickness but length. It is the shortest distance between two points.
16. The length of the boundary around a shape or a figure.
18. A line segment that passes through the center of a circle and has its two endpoints on the circle.
19. The pair of angles opposite each other formed by two intersecting lines.
21. If the sum of the measures of two angles is 90°.
23. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
24. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
25. Intuitively speaking, curved away from the eye. A concave figure is a set of points some of whose chords include points that are in the set.
29. Lying on the same straight line.
31. Also called half-line. It is a straight line that extends from a point.
32. Two lines that intersect at right angles.
38. An angle with a measure between 0° and 90°.
39. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
41. Intuitively speaking, curved outward or toward the eye.
44. Having one thing on either side of it.
46. A straight line along which two faces of a solid meet.
47. A tubular solid with a circular base.

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1. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
3. An initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.
4. A primitive notion is not defined in terms of previously defined concepts, but is only motivated informally, usually by an appeal to intuition and everyday experience.
8. Two angles that add up to 180°.
9. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
10. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation.
15. Two angles that share the same vertex and have one side in common between them.
16. A plane figure bounded by three or more straight-line sides.
17. The point on a line segment that divides the given line segment into two congruent parts.
20. A perfect round ball.
22. The figure formed by two rays from the same initial point.
23. A flat surface that can extend forever in length and width but has no thickness.
26. A pair of angles is said to be vertical
27. The boundary line of a circle or the length of such a boundary line.
28. Two or more straight coplanar lines that do not intersect.
30. An angle that measures 90°
32. Where curves or curved surfaces touch.
33. The highest power of the variable in a polynomial.
34. Solid formed by rotating a right triangle around one of its legs.
35. pair Pair of adjacent angles that form a straight line.
36. The distance from the center of a circle to any point on its circumference.
37. A planar surface of a solid figure.
40. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
42. Two rays with a common endpoint that form a line
43. An angle that is between 90° and 180°.
45. They are straight lines that are neither parallel, nor intersecting.

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3. two angles or arcs. Whose sum is 180 degrees.
6. In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius, meaning ray but also the spoke of a chariot wheel.
7. Having the three sides. Of unequal length.
9. the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.
11. Spherical geometry is the geometry of the two-dimensional surface of a sphere. In this context the word "sphere" refers only to the 2-dimensional surface and other terms like "ball" or "solid sphere" are used for the surface together with its 3-dimensional interior.
14. Basic element of Euclidean geometry. Euclid defined a line as an interval between two points and claimed it could be extended indefinitely in either direction
16. a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
18. lines that intersect at a right angle. Which is 90 degrees.
19. In geometry, perimeter refers to the boundary of a closed plane figure. You might remember calculating perimeters in school. If each side of an equilateral triangle measures 9 feet, then the perimeter of the triangle measures 27 feet.
20. the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the centre). Any interval joining a point on the circle to the centre is called a radius. By the definition of a circle, any two radii have the same length.
22. the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height.
23. often denoted by letters such as P, Q, R, S, is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

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1. It has no size i.e. no width, no length and no depth. It is shown by a dot.
2. the amount of space within the perimeter of a 2D shape. It is measured in square units, such as cm², m², etc.
4. In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
5. an angle exceeding 90 degrees but less than 180 degrees. But more than 0 degrees.
8. In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle
10. In geometry, a ray can be defined as a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction.
12. a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side"
13. a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
15. a polyhedron. which the base is a polygon and all lateral faces are triangles.
17. an angle exceeding 90 degrees. But less than 180 degrees
21. the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex). The path, to be definite, is directed by some closed plane curve (the directrix), along which the line always glides.

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3. Allows a specific point on a drawing to be referenced or found
4. ________ lines identify part of a structure that is not visible on the drawing
6. ________ drawings show layout for the supply of hot and cold water, and for the sewage disposal system
7. A visual explanation of the symbols placed on a drawing
8. A high-strength horizontal load-bearing member
10. A window ________ lists all the window types, frame sizes, frame finish and glazing information for all the windows in a building
15. Block Placed on the drawing to record any changes in the drawing and includes a brief description of the change, the date, and who made the change
17. ________ of lines describes all the different types of lines used in a drawing
18. A framework consisting of two horizontal members joined together by a number of veritical and/or inclined members to form a series of triangles
20. Normally placed in the lower right corner of the drawing and usually include the company logo, project title, and the date the drawing was created (2 words)
22. Steel member that are cut from a standard I-shape thus forming two T-Shapes
24. The relationship of the size or distance of an item on a drawing compared to the real life size of the time when an items size is reduced to fit on a particular sheet size
26. ________ drawings show locations of the meter, distribution panel, switchgear, convenience outlets and special outlets
29. ________ maps describe in detail the local features of the earth’s surface
35. ________ drawings provide the necessary information on the location, alignment, and elevation of a structure and its principal parts in relation to the ground at the site
37. _______ drawings are used to illustrate the design of a project
38. Used to help reduce clutter and simplify drawings, along with a table to explain the shortening of words
39. ________ drawings include information about motors. pumps and piping systems and piping equipment
41. Steel members that are identified by nominal depth in inches, and weight per foot (2 words)
42. Traditionally printed drawings with white lines on a blue background
43. Steel members that are similar in shape to the letter C

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1. ________ drawings show an object from multiple different views
2. This acronym is a form to fill out if there is a discrepancy in the plans
5. ________ lines establish the sizes of parts if a structure – may end in arrows, dots, or slashes at a termination line drawn perpendicular to the dimension line
7. ________ lines identify the location of a specific part of the drawing – used with words, abbreviations, symbols, or keynotes
9. ________ tell what material is required for certain parts of the project
11. The connection place where steel members are connected to other steel members
12. ________ lines show land boundaries
13. ________ lines show the measured centre of and object
14. ________ drawings provide information on the Heating, Ventilation and Air Conditioning in a building (acronym)
16. List (also called Bill of Materials) A list of the materials that are required to build an item
19. Statements that are provided to the general contractors to define the quality of work to be done and the materials to be used
21. ________ drawings are architectural or working drawings used to represent a structure or system
23. _______ drawings display items as the eye sees them
25. ________ drawings are the vertical views of a building, especially the outside walls
27. ________ drawings are generally considered to be the drawings of steel, wood, concrete and other building materials
28. Steel members that are similar in shape to the letter L
30. The actual measurement of distances, elevations and directions on the earth’s surface
31. ________ drawings are enlarged views of some special features of a building
32. A high-strength vertical structural member
33. _____ _____ lines are used to indicate where an imaginary cut is made through the object (2 words)
34. ________ lines show where an object has been broken off to save space on the drawing
36. ________ lines identify the object of primary interest or the closest object
40. ________ lines show points of equal elevation

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7. Once enemies, now working together, from this NES classic.
8. A reptilian villain who's never invaded the Mushroom Kingdom.
10. A master swordsman in his own right, this "boy" and his sword are no "toy".
11. Watch out for this Namco character. He might eat you!
13. A Castlevania protagonist.
14. Daisy's boyfriend.
15. This guy's got one hot-looking belt.
16. Customer swordsman or swordswoman.
19. The antagonist of Super Mario Land 2.
23. A master swordsman. Good thing his last name isn't Vader.
26. This character could marry a lot of women with all the bling he's collected.
28. The green-haired goddess of the Smash Bros family.
29. Customer firearms specialist.
31. This brat wears an ugly bib and wants to be like his father.
32. Haduken wearing a red bandana.
33. This guy's a chimp, not a chump.
38. Watch out for the shell spin!
39. Don't make your pets cross, or she'll pick a bone with you.
41. Evil Aran.
44. A female with serious sword-fighting skills!
45. The character that makes Smash Bros the "most violent video game ever" according to some You Tubers.
54. After this princess and her companion are done with you, you'll be seeing stars!
55. Don't let him play baseball with your head.
56. He beats the ground in rage sometimes.
57. This swordsman comes at you full force with his blond hair and red cape.
58. Grandmothers in cottages hate him.
59. He's electrifying!
60. A blue Pokemon fighter.
61. He'll slither this way and that to defeat you.
63. His glowing eyes are frightening, despite his short stature.
64. An undisciplined source of energy.
66. His name is one letter short from shiny metal.
68. He's got Fox's back.
69. Watch out for golf club swings from this character.
70. You might want to be sure you're at least a teen when playing with this character, James.
71. This character is in great shape, and can be a male or a female depending on the player's preference.
73. She could be Mr. Spock's wife judging by her looks.

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1. If the Hyrule hero were in Animaniacs.
2. Better known to the world as Ash.
3. They love arctic vertically scrolling levels.
4. This character will color your whole life for you, even if you don't like it.
5. His prescription is pain!
6. This character's name suggests that he's very big, but in reality, he's not that big.
9. This girl's sword skills can keep up with the best of them.
12. This guy could smack you with a pot of flowers.
17. The alter ego of Hyrule's princess.
18. Boing-hop!
20. This swordfighter could be Batman's sidekick.
21. Ridley's nemesis.
22. Custom hand-to-hand combat character.
24. Don't let this character's name fool you...he packs a mean punch.
25. He's full of hot air.
27. The main hero of the Mushroom Kingdom.
30. Haduken wearing red.
34. Possibly a fallen angel?
35. This Pokemon would be an awesome ally in the Ninja Gaiden series.
36. Protecting the skies from impending evil.
37. This villain's obsessed with triangles joined at their vertices.
40. The hero of the Triforce
42. Who ever thought fried bacon and turtles could hurt so much!
43. If a white cat and Casper the Friendly Ghost had a baby...
46. This character proves that milk makes you strong.
47. Hope it doesn't rain because of this character.
48. Ness's buddy.
49. She'll whip you with her parasol.
50. The slayer of metroids reveals her identity!
51. A racer with some fight in him.
52. Despite how heavenly he is, you would die if you fell into him in Super Mario Bros 1.
53. He'll put you to sleep, but he's not boring.
54. Nintendo's pre-Mario mascot.
62. Kirby's arch nemesis.
65. He's got plenty of followers of all colors.
67. Bulging muscles, ripped sleeves, and a whip. Don't mess with him!
72. This character has the same nickname as President Dwight D. Eisenhower did.

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5. of or pertaining to two numbers related by a congruence.
7. the side of a right-angled triangle that is opposite the right angle
10. A prism is a polyhedron, with two parallel faces called bases. The other faces are always parallelograms. The prism is named by the shape of its base.
11. can bisect lines, angles, and more.
12. bring the different elements of (a complex activity or organization) into a relationship that will ensure efficiency or harmony.
18. straight line which links two points without extending beyond them
20. A pyramid is a polyhedron with one face (known as the "base") a polygon and all the other faces triangles meeting at a common polygon vertex
22. Passing through or lying on the same straight line.
23. any of a series of steps or stages, as in a process or course of action
24. neither parallel nor at right angles to a specified or implied line; askew; crooked
26. in the period separating
27. a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
29. the outside limit of an object, area, or surface; a place or part farthest away from the center of something.
30. Something that indicates a border or limit.
33. a solid generated by rotating a right triangle about one of its legs —called also right circular cone
34. A polygon that has one or more interior angles greater than 180°
36. A line which starts at a point with given coordinates, and goes off in a particular direction to infinity, possibly through a second point.
38. a line segment extending from the center of a circle or sphere to the circumference or bounding surface
39. to assume as a postulate.
41. the act or result of construing, interpreting, or explaining
42. the length of a straight line through the center of an object
44. A plane shape (two-dimensional) with straight sides.
45. Mathematics The point of a line segment or curvilinear arc that divides it into two parts of the same length.
46. completing or enhancing something.

Down

1. Being an equal distance apart everywhere:
2. The geometry of planar figures.
3. An angle whose measure is greater than 90° and less than 180°
4. without fixed limits; indefinite in form, extent, or application
5. a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two points
6. an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
8. is a deductive argument for a mathematical statement
9. Two rays with a common endpoint that point in opposite directions and form a straight line.
13. A geometrical object that is straight, infinitely long and infinitely thin
14. A Face is a flat surface of a three-dimensional figure.
15. A solid bounded by polygons
16. The boundary line of a circle.
17. Something that indicates a border or limit.
19. When two lines intersect, four angles are formed. The angles that are directly opposite to each other are called Opposite Angles.
21. a special kind of point that describes the corners or intersections of geometric shapes.
22. Passing through or lying on the same straight line.
25. Either of two angles having a common side and a common vertex.
28. Two angles that are adjacent (share a leg) and supplementary (add up to 180°)
31. any particular extent of space or surface
32. a round solid figure, or its surface, with every point on its surface equidistant from its center.
35. Vertical Angles are the angles opposite each other when two lines cross.
37. The measure of an angle with a measure between 0° and 90° or with less than 90° radians.
40. The line that divides something into two equal parts.
41. being or operating in the same plane
43. is one of the most basic curvilinear geometric shapes,
47. A precise location or place on a plane. Usually represented by a dot.
48. a corner whether constituting a projecting part or a partially enclosed space

Across

3. A space figure with two parallel polygonal bases that are the same shape and the same size
4. The two supplementary adjacent angles formed by two intersecting lines
6. angle that measures 90°
7. A planar surface of a solid figure
8. lines that don’t intersect
10. The boundary line of a circle or the length of such a boundary line
12. 2 or more that add up with another angle
14. Points or lines that all lie in the same plane
17. angles that have a common ray coming out of the vertex going between two other rays
20. A can-shaped solid figure
26. a set of points any of whose chords do not include any point that is not in the set
27. two rays with a common endpoint that form a line
28. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts
29. A closed plane figure bounded by at least three line segments
32. The highest power of the variable in a polynomial
33. A pair of angles that add up to 90°. As shown, 1 is the complementary angle of 2
35. An additional geometric figure that is constructed to assist in solving a problem or producing a proof
36. Lines that intersect
38. neither parallel nor at right angles to a specified or implied line
39. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms
40. The point on a line segment that divides the given line segment into two congruent parts
41. A line segment where two faces of a polyhedron meet
42. A line segment that passes through the center of a circle and has its two endpoints on the circle
44. a solid formed by rotating a right triangle around one of its legs
45. angle an angle less than 90 degrees but more than 0 degrees
46. Lying on the same straight line

Down

1. a closed solid bounded by a surface on which all points are equidistant from a central point called the center
2. a straight line that extends from a point
4. Part of a line between two points called endpoints
5. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex
9. A solid bounded by at least four polygonal faces
10. a set of points some of whose chords include points that are in the set
11. The distance from the center of a shape to any point on its circumference
13. A geometric object that has no dimension and is used to indicate a location
15. a suggest or assume the existence
16. The pair of angles opposite each other formed by two intersecting lines
18. the extent or measurement of a surface or piece of land
19. a general conclusion that has been proved
21. a term that hasn’t been solved yet
22. A point at which the two or more rays of an angle meet
23. The side opposite the right angle in a right triangle
24. Angles that are vertical on the opposite sides
25. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane
30. has neither width nor thickness but length. It is the shortest distance between two points
31. An angle that is between 90° and 180°
34. 2 is____1 and 3
35. Planar figures or solid shapes that have the same shape and size
36. The length of the boundary around a shape or a figure
37. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes
43. the space, that is usually measured in degrees, between two intersecting lines or surfaces at or close to the point where they meet

Across

2. Lowest point of a function
4. When the graph of the function is continuous
8. yummy treats that are given by cool math teacher occasionally
12. The slope of the line tangent to the function
15. the graph lies below its tangent lines
20. quantity that expresses the extent of a region on the plane or on a curved surface
23. simple operation in which a number is divided
25. simple operation in which a number is added onto another number
27. a relation of the form R = 0 where R is a function of several variables
28. a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface
29. when the two-sided limit doesn't exist because the one-sided limits aren't equal
30. simple operation in which a number is taken away from another number
34. (uv)= u'v + uv'
35. Finding the derivative of the numerator and denominator to evaluate the limit of a function
39. a mathematical function that is the inverse of the sine function
40. a numerical quantity that is not a whole number
41. straight line that just touches the curve at that point
46. Obtaining the derivative of a function
47. a point of a curve at which a change in the direction of curvature occurs
48. cool math teacher that gives people doughnuts occasionally
49. the magnitude of a real number without regard to its sign
50. Where the function changes from concave up to concave down or vice versa

Down

1. number that is expressed in terms of the square root of a negative number represented by i
3. a line that continually approaches a given curve but does not meet it at any finite distance
5. a value that a function approaches the output for the given input values
6. a differentiable function F whose derivative is equal to the original function f
7. branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles
9. an integration rule that evaluates the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles
10. A point at which the graph of the function is not continuous
11. the change in velocity over the change in time
13. process of combining matrices vectors or other quantities under specific rules to obtain their product
14. for a given planar arc between two endpoints there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints
16. branch of mathematics that deals with the finding and properties of derivatives and integrals of functions by methods originally based on the summation of infinitesimal differences
17. a first-order numerical procedure for solving ordinary differential equations with a given initial value
18. a mathematical function that is the inverse of the tangent function
19. lowest point of a specified interval of a graph
21. The rate of change in the position of an object
22. quantity representing the power to which a given number or expression is to be raise
24. a mathematical object that can be interpreted as an area or a generalization of area
26. the graph lies above its tangent lines
31. highest point of a specified interval of a graph
32. Rates of change are related by differentiation
33. a mathematical function that is the inverse of the cosine function
36. a number greater than any assignable quantity or countable number
37. the region bounded by the function we're working with vertical lines representing the function's bounds and the x-axis
38. Highest point of a function
42. a graphical representation of the solutions to a first-order differential equation of a scalar function
43. a point in the domain of the function where the function is either not differentiable or the derivative is equal to zero
44. a point at which two branches of a curve meet such that the tangents of each branch are equal
45. f'(g(x))g'(x)

Across

4. is a framework consisting of two horizontal members joined together by a number of veritical and/or inclined members to form a series of triangles
5. Flanges are steel members that are identified by nominal depth in inches, and weight per foot
7. drawings show locations of the meter, distribution panel, switchgear, convenience outlets and special outlets
9. drawings show layout for the supply of hot and cold water, and for the sewage disposal system
10. drawings provide the necessary information on the location, alignment, and elevation of a structure and its principal parts in relation to the ground at the site
15. are statements that are provided to the general contractors to define the quality of work to be done and the materials to be used
17. this acronym is a form to fill out if there is a discrepancy in the plans
19. drawings show an object from multiple different views
22. is the relationship of the size or distance of an item on a drawing compared to the real life size of the time when an items size is reduced to fit on a particular sheet size
24. lines identify part of a structure that is not visible on the drawing
25. drawings provide information on the Heating, Ventilation and Air Conditioning in a building
26. lines identify the object of primary interest or the closest object
27. are used to help reduce clutter and simplify drawings, along with a table to explain the abbreviations
29. lines show the measured centre of and object
32. drawings are generally considered to be the drawings of steel, wood, concrete and other building materials
35. is the actual measurement of distances, elevations and directions on the earth’s surface
36. is the connection place where steel members are connected to other steel members
37. is a visual explanation of the symbols placed on a drawing
40. List (also called Bill of Materials) is a list of the materials that are required to build an item
42. lines establish the sizes of parts if a structure – may end in arrows, dots, or slashes at a termination line drawn perpendicular to the dimension line
43. drawings are the vertical views of a building, especially the outside walls
44. drawings are enlarged views of some special features of a building

Down

1. drawings are used to illustrate the design of a project
2. are traditionally printed drawings with white lines on a blue background
3. Block is placed on the drawing to record any changes in the drawing and includes a brief description of the change, the date, and who made the change
6. are steel members that are similar in shape to the letter L
8. lines are used to indicate where an imaginary cut is made through the object (2 words)
11. lines show where an object has been broken off to save space on the drawing
12. lines identify the location of a specific part of the drawing – used with words, abbreviations, symbols, or keynotes
13. is normally placed in the lower right corner of the drawing and usually include the company logo, project title, and the date the drawing was created (2 words)
14. drawings include information about motors. pumps and piping systems and piping equipment
16. lines show points of equal elevation
18. displays items as the eye sees them
20. drawings are architectural or working drawings used to represent a structure or system
21. of lines describes all the different types of lines used in a drawing
23. is a high-strength vertical structural member
28. tell what material is required for certain parts of the project
30. lines show land boundaries
31. allows a specific point on a drawing to be referenced or found
33. maps describe in detail the local features of the earth’s surface
34. is a high-strength horizontal load-bearing member
38. are steel member that are cut from a standard I-shape thus forming two T-Shapes
39. are steel members that are similar in shape to the letter C
41. A window ________ lists all the window types, frame sizes, frame finish and glazing information for all the windows in a building

Across

4. A high-strength vertical structural member
6. ________ lines identify the location of a specific part of the drawing – used with words, abbreviations, symbols, or keynotes
8. are traditionally printed drawings with white lines on a blue background
14. _______ drawings display items as the eye sees them
15. Block is placed on the drawing to record any changes in the drawing and includes a brief description of the change, the date, and who made the change
17. This acronym is a form to fill out if there is a discrepancy in the plans
18. ________ of lines describes all the different types of lines used in a drawing
25. ________ drawings provide information on the Heating, Ventilation and Air Conditioning in a building (acronym)
26. _______ drawings are used to illustrate the design of a project
27. Steel members that are similar in shape to the letter C
29. ________ lines identify part of a structure that is not visible on the drawing
30. The relationship of the size or distance of an item on a drawing compared to the real life size of the time when an items size is reduced to fit on a particular sheet size
34. ________ lines show where an object has been broken off to save space on the drawing
35. ________ drawings are generally considered to be the drawings of steel, wood, concrete and other building materials
36. A high-strength horizontal load-bearing member
37. ________ lines show points of equal elevation
40. ________ drawings show layout for the supply of hot and cold water, and for the sewage disposal system
42. ________ drawings provide the necessary information on the location, alignment, and elevation of a structure and its principal parts in relation to the ground at the site
43. The connection place where steel members are connected to other steel members
44. is normally placed in the lower right corner of the drawing and usually include the company logo, project title, and the date the drawing was created (2 words)

Down

1. ________ lines show the measured centre of and object
2. ________ tell what material is required for certain parts of the project
3. _____ _____ lines are used to indicate where an imaginary cut is made through the object (2 words)
5. Allows a specific point on a drawing to be referenced or found
7. ________ lines establish the sizes of parts if a structure – may end in arrows, dots, or slashes at a termination line drawn perpendicular to the dimension line
9. Steel member that are cut from a standard I-shape thus forming two T-Shapes
10. ________ maps describe in detail the local features of the earth’s surface
11. ________ drawings include information about motors. pumps and piping systems and piping equipment
12. A framework consisting of two horizontal members joined together by a number of veritical and/or inclined members to form a series of triangles
13. Steel members that are identified by nominal depth in inches, and weight per foot (2 words)
16. A window ________ lists all the window types, frame sizes, frame finish and glazing information for all the windows in a building
19. ________ drawings show locations of the meter, distribution panel, switchgear, convenience outlets and special outlets
20. ________ lines identify the object of primary interest or the closest object
21. is a visual explanation of the symbols placed on a drawing
22. Steel members that are similar in shape to the letter L
23. List (also called Bill of Materials) A list of the materials that are required to build an item
24. ________ lines show land boundaries
28. The actual measurement of distances, elevations and directions on the earth’s surface
31. drawings are architectural or working drawings used to represent a structure or system
32. ________ drawings are enlarged views of some special features of a building
33. ________ drawings show an object from multiple different views
38. are used to help reduce clutter and simplify drawings, along with a table to explain the abbreviations
39. Statements that are provided to the general contractors to define the quality of work to be done and the materials to be used
41. ________ drawings are the vertical views of a building, especially the outside walls

Across

2. spectacular physical action; narrative emphasis on fights, chases, and explosions; high-stakes; high-energy; fast-paced events
8. serious and sometimes melancholy tone; dramatic performance that isn’t over the top; intense; character- & plot-focused
12. love is the central theme; emotional; usually has a happy ending where the two main characters get together (but not always); love triangles; betrayals
14. “what if?” elements; unfamiliar setting; innovative technology; relatable characters in an unrelatable setting; themes about humanity and its fragility; hypothetical questions are asked and may or may not be answered
16. Suspenseful full of highs and lows; building tension gradually until hitting the peak; high stakes; big questions; jump scares; realistic pacing; not necessarily intending to scare the audience, but totally could when mixed with horror
17. dream sequences; irrational elements of fantasy; juxtapositional contrasts; unconscious mind; subconscious thoughts; focus on character’s discovery of self in their unconsciousness
18. same as fantasy, but the elements of magic are taken to the extreme in all aspects to the point where the world is entirely different from our own
20. suspense that is meant to be instill fear; violent; gorey; supernatural; slasher/killer; terrifying evils; suspense builds tension and keeps the reader on edge of their seat at all times
21. main character is the similar age to the target audience (10-16); coming-of-age issues; finding one’s identity; friendships; first loves; relationships (not just romantic ones); puberty; jealousy; betrayals; overcoming difficulties
22. light/humorous tone; overdramatic performance; characters usually triumph over adversity (because we want the good-feeling ending)
23. imaginary characters and situations that depict our world and society; no magical themes; no big bad evils to fight off; realistic characters involved with/overcoming realistic problems

Down

1. elements of the real world with just a hint of magic in it; the magical element is not grand like fantasy or high fantasy genres, but the world is not exactly the same as realistic fiction stories
3. simple & straightforward; characters of the same age as the reader (elementary age); child’s point of view; fantastical concepts without major concern to reality
4. close to historical fiction except the elements are rooted in or inspired by myths, folklore, and fairy tales that are well known in our real world; can easily have elements of other common genres (Greek, Roman, Egyptian, Norse, Native American, Christian, Islamic, or any mythological stories rooted in religious/spiritual ideas can fall in this category)
5. characters & premise are based off of real people or events but are still fictional (elements of truth in a fictional plot); set in a real place, during a culturally recognizable time, but usually with fake characters
6. can contain elements of many genres but is identified by having elements of magic in a world that either is our own or extremely similar (except for the magical elements)
7. athletics; usually has a main character who either is already athletic or is trying to join athletic teams; has themes of comradery, teamwork, family, perseverance, struggle, training, practice, championships, winning & losing, life lessons, coaching
9. societies engaged in forever wars; characterized by extreme social & economic class divides; mass poverty; environmental devastation; anarchy; loss of individuality
10. Hero vs Villain; epic journey plots; race against time; multiple plot twists; high-stakes; high-energy; fast-paced events
11. harsh; hostile; wide-open landscape/earthly scenery; hero, victim, villain; damsel in distress; hero operates outside of the law; cowboys and Native Americans; prairie and the open road; set in wild west in America
13. realistic, yet suspenseful plot with a lot of twists; shocking realistic crime; foreshadowing evidence; false leads; solving problems; reader/viewer might know information that characters do not; detective work; leads and connections
15. targeted audience are people between 18-25 (new adults); focuses on themes of leaving home; developing sexuality; negotiating education and career choices; main character is the same age as the targeted audience
19. People with powers or are really smart that they can create things that give them some type of power; literally heroes vs villains; ton of action; fast-pace; usually has concepts of how superhuman beings can still relate to normal people with emotions and internal struggles

Across

2. a rule that shows a relationship between two or more quantities (2)
3. a number's distance from zero is its _____ value (1)
7. a solid with two bases that are parallel, congruent (matching) circles (8)
10. a ratio that compares quantities measured in different units (4)
11. a mathematical phrase that uses numbers, variables, and operation symbols is called an algebraic _____ (1)
13. the amount added to the store's cost for an item to get to the selling price (5)
14. get a variable alone on one side (1)
16. mathematical sentence with an equal sign (1)
17. the amount by which the price of an item is reduced to get to the sale price (5)
19. an ordered _____ gives the coordinates of the location of a point (3)
22. a solid with two parallel bases that are congruent (matching) polygons and with lateral faces that are parallelograms (usually rectangles) (8)
23. abbreviation for the least multiple that is common to both numbers (2)
24. a transformation that turns a figure about a fixed point (3)
27. abbreviation for the greatest number that is a factor of both numbers you have (2)
30. a symbol that stands for one or more numbers (1)
31. the number of cubic units needed to fill a solid (8)
33. an expression using a base and an exponent (2)
35. the sum of the areas of all of a solid's surfaces (8)
36. a rate equal to 1 is called a _____ factor (4)
39. a grid formed by the intersection of two number lines is a coordinate _____ (3)
40. the set of whole numbers and their opposites (negatives) (1)
42. the percent a quantity increases or decreases from its original amount is the percent of _____ (5)
43. a mathematical sentence that contains , , , , or (6)
45. a ratio that compares a number to 100 (5)
46. _____ notation is a number written as a factor between 1 and 10 multiplied by a power of 10 (i.e., 1.54 x 10^7) (2)
47. the original amount deposited or borrowed (5)
48. terms that have exactly the same variable factors (i.e., -5 and 8, 2x and 3x) (6)

Down

1. an equation stating that two ratios are equal (4)
4. a type of number whose decimal part does not terminate or repeat (3)
5. the ratio of the length of the model to the corresponding length of the actual object (4)
6. a type of polygon with all equal sides and equal angles (7)
8. a composite number written as a product of prime numbers is the prime _____ (2)
9. a comparison of two quantities by division (4)
12. the height of a pyramid's lateral faces is called the _____ height (8)
15. a type of triangle with three equal sides (7)
18. the figure you get after a transformation (3)
19. the _____ of an event is the number of favorable outcomes divided by the number of total possible outcomes (5)
20. a whole number greater than 1 with exactly two factors, 1 and the number itself (2)
21. the _____ of a number is another number when multiplied by itself is the given number; the symbol looks like (3)
25. the principal plus the interest (5)
26. a type of triangle with one angle greater than 90 degrees (7)
28. a whole number greater than 1 with more than two factors (2)
29. this point (1, -4) would be located in _____ IV (3)
32. the line that divides a figure into mirror images is called the line of _____ (3)
34. the amount of money paid for the use of money (5)
36. a solid with one circular base and one vertex (point) (8)
37. a solid with one base (usually a square) and lateral faces that are triangles (8)
38. the set of numbers including both rational and irrational numbers (3)
41. a transformation that flips a figure over a line (3)
44. a transformation that moves each point of a figure the same distance and in the same direction (3)

Across

2. A museum has 8 sculptures made by Michelangelo and wants to arrange 5 of them on the same wall. In how many ways are there to arrange the sculptures?
4. In how many ways can the letters in the word MISSISSIPPI be arranged if the P's are together?
6. There are 15 players in a game at a birthday party, players should be taken 3 at a time. In how many ways can the host choose the players?
7. A license plate begins with three letters. If the possible letters are C, A, T, C, and H, how many different permutations of the letters mentioned can be created if no letter is used more than once?
8. There are 2 girls and 4 boys in a pictorial. They are supposed to sit in a line where the 2 girls are on the ends. How many different ways can they be arranged?
9. A kpop group has 9 options of songs, but they only have to perform 3 of them. How many different ways can they do this (the order matters)?
11. In how many ways can 5 children, and three of them are always together be arranged in a line?
12. A permutation lock will open if the right choice of 3 numbers (from 1 to 20) is selected. How many lock permutations can be made assuming no number is repeated?
14. In how many ways can a president, a vice president, and a secretary be chosen from among 10 candidates?
16. There are 4 girls and 5 boys in a class, these students are assigned to sit in a line. However, the 4 girls chose to always sit together. In how many different ways can they be arranged?
18. A set containing 7 elements which are N, E, T, W, O, R, and K. In how many different ways can 3 elements be selected out of the total number of elements without repetition?
19. A basketball team has 12 players, there are always basketball players on the court. How many different groups of players can play on the court at any one time?
20. A customer buys a family-sized meal at a certain restaurant, he gets to choose 3 side dishes from 9 options. The customer is going to choose 3 different side dishes. How many ways can he possibly group the 3 side dishes?
21. There are 5 men and 5 women in an office. A customer went in and requested a site visit from a group of 2 men and 3 women. How many different groups can be formed from the office?
22. In a shop, there is a set of 5 candies. In how many ways can 2 candies be selected from the set without repetition?
23. There are 4 philosophy and 3 fiction books on the bookshelf. Philosophy books should be placed on the left side of the bookshelf and fiction books on the right side. How many ways are there to arrange the books?

Down

1. A horse race has 16 horses. How many different ways can the 1st, 2nd, and 3rd place occur (the order matters)?
3. How many different linear arrangements of the letters from the word PIZZERIA can be created?
4. How many combinations can the 7 colors of the rainbow be grouped into groups of 3 colors each?
5. There are 12 points selected on a circle. How many triangles with edges in these points exist?
6. In how many ways can the letters of the word MATHEMATICS be arranged?
10. In how many ways can you arrange 4 green balls, 3 red balls, and 2 pink balls? Take note that the balls of the same color are identical.
13. How many committees of 4 can be created from a group of 20 students?
14. In how many ways can the letter of the word CRINGE be arranged?
15. How many different ways can 4 cards be dealt from a deck of 52 cards?
17. If an elementary class has 13 students, how many different arrangements can 6 students give a presentation to the class?
18. 7 fruits can be put in a salad but only 4 can be chosen. How many ways can we do this
21. In how many ways can you arrange the letters from the word LOLLIPOP?
22. In how many ways can the letters from the word BALLS be arranged if the L's are together?

Across

1. Two straight lines that extends from a point with a common endpoint that form a line
4. The length of the boundary around a shape or a figure
5. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms
7. Two or more that add up with another angle
9. A geometric object that has no dimension and is used to indicate a location
10. the space, that is usually measured in degrees, between two intersecting lines or surfaces at or close to the point where they meet
12. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes
13. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts
15. A closed plane figure bounded by at least three line segments
16. A closed solid bounded by a surface on which all points are equidistant from a central point called the center
17. Two intersecting lines that are the opposite each other formed by two intersecting lines
20. The distance from the center of a shape to any point on its circumference
21. A definition that hasn’t been solved yet
22. Planar figures or solid shapes that have the same shape and size
23. a set of points any of whose chords do not include any point that is not in the set
24. two intersecting lines that is less than 90 degrees but more than 0 degrees
27. Lines that intersect
29. A general conclusion that has been proved
31. A solid bounded by at least four polygonal faces
33. A pair of angles that add up to 90°
37. the extent or measurement of a surface or piece of land
38. A suggest or assume the existence
40. Lying on the same straight line
41. A line segment that passes through the center of a circle and has its two endpoints on the circle
42. The point on a line segment that divides the given line segment into two congruent parts
44. a straight line that extends from a point
45. A flat surface that can extend forever in length and width but has no thickness

Down

1. Two intersecting lines that are vertical on the opposite sides
2. Points or lines that all lie in the same plane
3. polygon a set of points some of whose chords include points that are in the set
6. a solid formed by rotating a right triangle around one of its legs
8. A space figure with two parallel polygonal bases that are the same shape and the same size
9. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex
10. two intersecting lines that have a common ray coming out of the vertex going between two other rays
11. Two intersecting lines that is between 90° and 180°
12. An additional geometric figure that is constructed to assist in solving a problem or producing a proof
14. The side opposite the right angle in a right triangle
18. The boundary line of a circle or the length of such a boundary line
19. A line segment where two faces of a polyhedron meet
25. A can-shaped solid figure
26. The two supplementary adjacent angles formed by two intersecting lines
28. Has neither width nor thickness but length. It is the shortest distance between two points
30. at, into, or across the space separating
31. Lines that don’t intersect
32. A point at which the two or more rays of an angle meet
34. Part of a line between two points called endpoints
35. Two intersecting lines that measures 90°
36. A planar surface of a solid figure
39. Neither parallel nor at right angles to a specified or implied line
43. The highest power of the variable in a polynomial

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4. is a polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
9. is a flat surface that has no thickness.
10. is a straight line that extends from a point.
12. term is a term or word that doesn't require further explanation or description.
14. is a geometric figure made with only a straightedge and compass.
15. is a general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved.
16. pair are two angles that are adjacent (share a leg) and supplementary .
19. is the sum of all lengths of its its sides.
21. are two angles that add up to 180°.
25. rays are collinear rays with the same endpoint.
26. is a three dimensional figure that has a circular base, a vertex not in the plane of the circle, and a curved lateral surface.
28. angle is an angle that measures 90° or /2 radians. It is the angle between two perpendicular lines such as the corner of a square or two perpendicular planes such as the wall and the ground.
29. is a point B that lies on the line connecting two points A and C and has one of the two points on each side of it.
30. is when two lines lie on the same plane and never intersect.
32. angle is an angle whose measure is between 90 and 180.
33. is formed by two rays with the same endpoint.
35. means the same measure.
37. segment is a part of a line between two points called endpoints.
38. is a closed plane figure bounded by at least three line segments.
40. angles are two coplanar angles that have a common side and a common vertex but no common interior points.
41. is a unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
42. is a point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.

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1. is a space figure with two parallel polygonal bases that are the same shape and the same size.
2. means on the same line.
3. is to be on the same plane.
4. is an accepted statement of fact.
5. is a point that divides the segment into two congruent sides.
6. is its distance and direction from the origin of a number line.
7. of a circle is the distance around the circle.
8. is a segment that contains the center of a circle and whose endpoints are on the circle.
9. is when to lines come together to form right angles.
11. is if two angles add up to 90.
13. is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.
17. is a straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
18. angles is a pair of angles opposite each other formed by two intersecting lines.
20. is the side opposite of the right angle in a right triangle.
22. is a three-dimensional figure whose surfaces, or faces, are polygons. The vertices of the polygons are the vertices of of the polyhedron. The intersections of the faces are the edges of the polyhedron.
23. of a plane figure is the number of square units enclosed by the figure.
24. are straight lines that are neither parallel, nor intersecting.
27. is a set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
30. is a location.
31. are line segments where two faces of a polyhedron meet.
33. angle is an angle whose measure is between 0 and 90.
34. polygon is when at least one of the interior angles of a polygon is greater than 180°.
35. is a three-dimensional figure with two congruent circular bases that lie in parallel planes.
36. polygon is a polygon that has all interior angles less than 180°.
39. is a planar surface of a solid figure.
43. is the distance from the center of a circle to any point on its circumference.

Across

3. closed plane figure for which all sides are line segments.
4. rays Two rays with a common endpoint that point in opposite directions and form a straight line.
10. The geometric figure formed at the intersection of two distinct lines.
11. Lying in the same plane.
12. A three dimensional solid consisting of all points equidistant from a given point.
13. The distance around the outside of a plane figure.
14. a complete arc or the distance around the the outside of a circle.
16. A line segment between two points on the circle or sphere which passes through the center.
17. A statement accepted as true without proof.
19. The side opposite the right angle in a right triangle.
20. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting. They lie on different planes.
21. An acute angle is an angle to which is less than 90 degrees
22. A solid with no curved surfaces or edges.
25. A line segment, line, or plane that divides a geometric figure into two congruent halves.
26. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
29. angles Two angles in a plane which share a common vertex and a common side but do not overlap.
31. Two angles that add up to 180°.
35. A corner point of a geometric figure.
36. A part of a line starting at a particular point and extending infinitely in one direction.
37. a three dimensional figure with a single base tapering to an apex. The base can be any simple closed curve. Often the word cone refers to a right circular cone.
39. Lying on the same line.
40. Two lines (lying in the same plane) are parallel if they never intersect... This means that the two lines are always the same distance apart.
42. A 90° angle.
44. angle An angle that has measure more than 90° and less than 180°.
45. A unit of angle measure equal to of a complete revolution. There are 360 degrees in a circle. Degrees are indicated by the ° symbol, so 35° means 35 degrees.

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1. A three-dimensional geometric figure with parallel congruent bases. The bases can be shaped like any closed plane figure (not necessarily a circle) and must be oriented identically.
2. set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
5. A point on a line segment that is in between two other points which are on the same line.
6. A flat surface extending in all directions.
7. pair- A pair of adjacent angles formed by intersecting lines.
8. The point halfway between two given points.
9. A planar surface of a solid figure
11. Exactly equal in size and shape.
13. At a 90° angle and sloped at a negative reciprocal
15. A pair of angles that add up to 90°
18. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
21. Two rays sharing a common endpoint. Angles are typically measured in degrees or radians.
23. A line segment between the center and a point on the circle or sphere.
24. A solid with parallel congruent bases which are both polygons.
27. An additional geometric figure that is built to assist in solving a problem or producing a proof
28. polygon a set of points some of whose chords include points that are in the set.
30. polygon A geometric figure with no indentations.
32. term a term or word that doesn’t require further explanation or description.
33. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
34. A line segment where two faces of a polyhedron meet.
38. angles angles opposite one another at the intersection of two lines.
41. segment All points between two given points (including the given points themselves).
43. An assertion that can be proved true using the rules of logic.

Across

1. a polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms
4. a solid generated by rotating a right triangle about one of its legs
5. the surface of a thing, one that is presented to the view or has a particular function, in particular
6. extending in the same direction, everywhere equidistant, and not meeting
7. a straight line that bisects an angle or a line segment
8. a solid formed by plane faces
9. standing at right angles to the plane of the horizon,exactly upright
12. equal in rank, quality, or significance
14. a step or stage in a process, course, or order of classification
18. the external boundary or surface of a figure or object
21. a closed plane figure bounded by straight lines
23. to distort especially from a true value or symmetrical form
24. a point at or near the center or middle
25. an end or object to be achieved
27. a chord passing through the center of a figure or body
28. a polygon such that there is a straight line that cuts it in four or more points
30. superposable so as to be coincident throughout
31. a level piece of ground
32. a length of cord or cord-like material
33. is a part of a line that is bounded by two end points, and contains every point on the line between its ending point
35. a formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions
37. an angle between 90 and 180 degrees
38. the angle bounded by two lines perpendicular to each other : an angle of 90°
39. two rays with a common endpoint that form a line
42. the cogency of evidence that compels acceptance by the mind of a truth or a fact
43. the side of a right-angled triangle that is opposite the right angle
45. a corner whether constituting a projecting part or a partially enclosed space

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1. to assume or claim as true, existent, or necessary, depend upon or start
2. The two supplementary adjacent angles formed by two intersecting lines
3. lying or acting in the same plane
4. lying on or passing through the same straight line
9. a polyhedron having for its base a polygon and for faces triangles with a common vertex
10. the surface traced by a straight line moving parallel to a fixed straight line and intersecting a fixed planar closed curve
11. immediately preceding or following
12. A polygon that has all interior angles less than 180°
13. the point opposite to and farthest from the base in a figure
15. relating to or constituting one of a pair of contrasting colors that produce a neutral color when combined in suitable proportions
16. being or relating to a supplement or a supplementary angle
17. in the time, space, or interval that separates
19. each of the lines in which light and heat may seem to stream from the sun or any luminous body, or pass through a small opening
20. the act or result of construing, interpreting, or explaining
21. the boundary of a closed plane figure
22. seither of two angles lying on opposite sides of two intersecting lines
26. logic, and formal systems, a primitive notion is an undefined concept
29. a pair of angles is said to be vertical also opposite and vertically opposite, which is abbreviated as vertical opp, if the angles are formed from two intersecting lines and the angles are not adjacent
34. the cutting side of a blade
36. a line segment extending from the center of a circle or sphere to the circumference or bounding surface
40. characterized by sharpness or severity
41. a solid that is bounded by a surface consisting of all points at a given distance from a point constituting its center
44. a surface in which if any two points are chosen a straight line joining them lies wholly in that surface

Across

2. A space figure with two parallel polygonal bases that are the same shape and the same size
5. Lying on the same straight line
10. The side opposite the right angle in a right triangle
11. The highest power of the variable in a polynomial
13. a straight line that extends from a point
15. A general conclusion that has been proved
16. The point on a line segment that divides the given line segment into two congruent parts
19. A line segment that passes through the center of a circle and has its two endpoints on the circle
20. Two intersecting lines that is between 90° and 180°
23. two intersecting lines that have a common ray coming out of the vertex going between two other rays
25. The length of the boundary around a shape or a figure
27. A pair of angles that add up to 90°
28. two intersecting lines that is less than 90 degrees but more than 0 degrees
30. Has neither width nor thickness but length. It is the shortest distance between two points
32. An additional geometric figure that is constructed to assist in solving a problem or producing a proof
33. a set of points any of whose chords do not include any point that is not in the set
36. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes
37. A flat surface that can extend forever in length and width but has no thickness
38. Neither parallel nor at right angles to a specified or implied line
39. The two supplementary adjacent angles formed by two intersecting lines
43. A closed solid bounded by a surface on which all points are equidistant from a central point called the center
44. A closed plane figure bounded by at least three line segments
45. A definition that hasn’t been solved yet
46. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex
47. the extent or measurement of a surface or piece of land

Down

1. Lines that don’t intersect
2. A solid bounded by at least four polygonal faces
3. A suggest or assume the existence
4. A point at which the two or more rays of an angle meet
6. Two or more that add up with another angle
7. Two intersecting lines that are the opposite each other formed by two intersecting lines
8. A can-shaped solid figure
9. The distance from the center of a shape to any point on its circumference
12. Two intersecting lines that measures 90°
14. a solid formed by rotating a right triangle around one of its legs
17. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms
18. A planar surface of a solid figure
20. Two straight lines that extends from a point with a common endpoint that form a line
21. at, into, or across the space separating
22. Planar figures or solid shapes that have the same shape and size
24. The boundary line of a circle or the length of such a boundary line
26. polygon a set of points some of whose chords include points that are in the set
29. A line segment where two faces of a polyhedron meet
31. Points or lines that all lie in the same plane
34. Two intersecting lines that are vertical on the opposite sides
35. Lines that intersect
39. Part of a line between two points called endpoints
40. the space, that is usually measured in degrees, between two intersecting lines or surfaces at or close to the point where they meet
41. A geometric object that has no dimension and is used to indicate a location
42. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts

Across

2. statements that are assumed to be true without proof
4. a shape with no sides or corners
7. an angle which is greater than 90° and less than 180°
8. also called a counting frame, is a hand-operated calculating tool of unknown origin used since ancient times
12. the product of an integer and all the integers below it; e.g. factorial four ( 4! ) is equal to 24
13. an enumerated collection of objects in which repetitions are allowed and order matters.
16. the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
18. a closed two-dimensional polygon with six sides
19. is a mathematical statement that shows that two mathematical expressions are equal
22. A symbol or name that stands for a number
23. relation which makes a non-equal comparison between two numbers or other mathematical expressions
24. examples of these are: 2,4,6
25. the fundamental of mathematics that includes the operations of numbers
28. a number representing a single or the only entity
29. a statement that can be demonstrated to be true by accepted mathematical operations and arguments
34. angles that measure less than 90 degrees
35. to determine mathematically in the case of a number or amount, or in the case of an abstract problem to deduce the answer using logic, reason or common sense.
38. The √ symbol that is used to denote square root or nth roots
39. a set of real numbers that contains all real numbers lying between any two numbers of the set
42. is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide
43. the total space taken up by a flat (2-D) surface or shape of an object
44. 3x3=

Down

1. quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner
3. a single number taken as representative of a list of numbers
5. a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
6. branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures
9. a plane figure made up of line segments connected to form a closed polygonal chain.
10. 2x5=
11. the numbers without fractions and it is a collection of positive integers and zero
14. a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex
15. a line segment that passes through the center and its endpoints are on the circumference of a circle
16. the smallest prime number, and the only even prime number
17. number that can only be divided by one or itself
19. 8+3=
20. a geometric shape containing detailed structure at arbitrarily small scales
21. function or operation which reverses the order or operation of another function or operation
24. the operation of raising one quantity to the power of another
26. a triangle with two equal sides
27. two lines in the same plane that are at equal distance from each other and never meet
30. a mathematical calculation of the number of ways a particular set can be arranged
31. is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases
32. a set of vectors in that space that can be used as coordinates for it
33. the result of an addition
36. the measurement or extent of something from end to end
37. formal examination of an organization's or individual's accounts or financial situation
40. of a circle or sphere is any of the line segments from its center to its perimeter
41. the SI unit of length or distance

Across

1. the numbers without fractions and it is a collection of positive integers and zero
4. two lines in the same plane that are at equal distance from each other and never meet
6. the product of an integer and all the integers below it; e.g. factorial four ( 4! ) is equal to 24
9. a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
11. a statement that can be demonstrated to be true by accepted mathematical operations and arguments
12. A symbol or name that stands for a number
15. a shape with no sides or corners
18. to determine mathematically in the case of a number or amount, or in the case of an abstract problem to deduce the answer using logic, reason or common sense.
21. is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases
24. the operation of raising one quantity to the power of another
27. quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner
29. the measurement or extent of something from end to end
30. a single number taken as representative of a list of numbers
31. relation which makes a non-equal comparison between two numbers or other mathematical expressions
32. a set of real numbers that contains all real numbers lying between any two numbers of the set
35. the smallest prime number, and the only even prime number
38. a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex
39. number that can only be divided by one or itself
40. an enumerated collection of objects in which repetitions are allowed and order matters.
42. a set of vectors in that space that can be used as coordinates for it
43. 3x3=
46. function or operation which reverses the order or operation of another function or operation

Down

2. is a mathematical statement that shows that two mathematical expressions are equal
3. 8+3=
5. of a circle or sphere is any of the line segments from its center to its perimeter
7. formal examination of an organization's or individual's accounts or financial situation
8. branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures
10. the fundamental of mathematics that includes the operations of numbers
13. a mathematical calculation of the number of ways a particular set can be arranged
14. a line segment that passes through the center and its endpoints are on the circumference of a circle
16. statements that are assumed to be true without proof
17. a geometric shape containing detailed structure at arbitrarily small scales
19. 2x5=
20. an angle which is greater than 90° and less than 180°
22. a triangle with two equal sides
23. a closed two-dimensional polygon with six sides
25. a plane figure made up of line segments connected to form a closed polygonal chain.
26. the SI unit of length or distance
28. the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
30. also called a counting frame, is a hand-operated calculating tool of unknown origin used since ancient times
33. The √ symbol that is used to denote square root or nth roots
34. angles that measure less than 90 degrees
36. the result of an addition
37. is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide
41. examples of these are: 2,4,6
44. the total space taken up by a flat (2-D) surface or shape of an object
45. a number representing a single or the only entity

Across

2. (uv)= u'v + uv'
5. the region bounded by the function we're working with vertical lines representing the function's bounds and the x-axis
6. a first-order numerical procedure for solving ordinary differential equations with a given initial value
7. straight line that just touches the curve at that point
8. simple operation in which a number is divided
11. a numerical quantity that is not a whole number
13. simple operation in which a number is taken away from another number
16. branch of mathematics that deals with the finding and properties of derivatives and integrals of functions by methods originally based on the summation of infinitesimal differences
18. quantity that expresses the extent of a region on the plane or on a curved surface
22. Obtaining the derivative of a function
27. The slope of the line tangent to the function
29. When the graph of the function is continuous
30. lowest point of a specified interval of a graph
31. a graphical representation of the solutions to a first-order differential equation of a scalar function
34. a relation of the form R = 0 where R is a function of several variables
37. the graph lies below its tangent lines
38. a number greater than any assignable quantity or countable number
41. process of combining matrices vectors or other quantities under specific rules to obtain their product
43. number that is expressed in terms of the square root of a negative number represented by i
44. Where the function changes from concave up to concave down or vice versa
45. a value that a function approaches the output for the given input values
46. the magnitude of a real number without regard to its sign
48. quantity representing the power to which a given number or expression is to be raise
49. for a given planar arc between two endpoints there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints

Down

1. a mathematical object that can be interpreted as an area or a generalization of area
3. highest point of a specified interval of a graph
4. cool math teacher that gives people doughnuts occasionally
5. a mathematical function that is the inverse of the cosine function
9. f'(g(x))g'(x)
10. a line that continually approaches a given curve but does not meet it at any finite distance
12. A point at which the graph of the function is not continuous
14. an integration rule that evaluates the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles
15. a mathematical function that is the inverse of the tangent function
17. the change in velocity over the change in time
19. simple operation in which a number is added onto another number
20. yummy treats that are given by cool math teacher occasionally
21. branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles
23. a mathematical function that is the inverse of the sine function
24. Highest point of a function
25. Finding the derivative of the numerator and denominator to evaluate the limit of a function
26. when the two-sided limit doesn't exist because the one-sided limits aren't equal
28. The rate of change in the position of an object
32. the graph lies above its tangent lines
33. a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface
35. a point of a curve at which a change in the direction of curvature occurs
36. Lowest point of a function
39. Rates of change are related by differentiation
40. a differentiable function F whose derivative is equal to the original function f
42. a point in the domain of the function where the function is either not differentiable or the derivative is equal to zero
47. a point at which two branches of a curve meet such that the tangents of each branch are equal

Across

6. close to historical fiction except the elements are rooted in or inspired by myths, folklore, and fairy tales that are well known in our real world; can easily have elements of other common genres (Greek, Roman, Egyptian, Norse, Native American, Christian, Islamic, or any mythological stories rooted in religious/spiritual ideas can fall in this category)
9. characters & premise are based off of real people or events but are still fictional (elements of truth in a fictional plot); set in a real place, during a culturally recognizable time, but usually with fake characters
14. serious and sometimes melancholy tone; dramatic performance that isn’t over the top; intense; character- & plot-focused
15. People with powers or are really smart that they can create things that give them some type of power; literally heroes vs villains; ton of action; fast-pace; usually has concepts of how superhuman beings can still relate to normal people with emotions and internal struggles
16. imaginary characters and situations that depict our world and society; no magical themes; no big bad evils to fight off; realistic characters involved with/overcoming realistic problems
17. light/humorous tone; overdramatic performance; characters usually triumph over adversity (because we want the good-feeling ending)
18. Hero vs Villain; epic journey plots; race against time; multiple plot twists; high-stakes; high-energy; fast-paced events
19. suspense that is meant to be instill fear; violent; gorey; supernatural; slasher/killer; terrifying evils; suspense builds tension and keeps the reader on edge of their seat at all times
20. targeted audience are people between 18-25 (new adults); focuses on themes of leaving home; developing sexuality; negotiating education and career choices; main character is the same age as the targeted audience
23. same as fantasy, but the elements of magic are taken to the extreme in all aspects to the point where the world is entirely different from our own

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1. Suspenseful full of highs and lows; building tension gradually until hitting the peak; high stakes; big questions; jump scares; realistic pacing; not necessarily intending to scare the audience, but totally could when mixed with horror
2. love is the central theme; emotional; usually has a happy ending where the two main characters get together (but not always); love triangles; betrayals
3. societies engaged in forever wars; characterized by extreme social & economic class divides; mass poverty; environmental devastation; anarchy; loss of individuality
4. athletics; usually has a main character who either is already athletic or is trying to join athletic teams; has themes of comradery, teamwork, family, perseverance, struggle, training, practice, championships, winning & losing, life lessons, coaching
5. “what if?” elements; unfamiliar setting; innovative technology; relatable characters in an unrelatable setting; themes about humanity and its fragility; hypothetical questions are asked and may or may not be answered
7. realistic, yet suspenseful plot with a lot of twists; shocking realistic crime; foreshadowing evidence; false leads; solving problems; reader/viewer might know information that characters do not; detective work; leads and connections
8. main character is the similar age to the target audience (10-16); coming-of-age issues; finding one’s identity; friendships; first loves; relationships (not just romantic ones); puberty; jealousy; betrayals; overcoming difficulties
10. can contain elements of many genres but is identified by having elements of magic in a world that either is our own or extremely similar (except for the magical elements)
11. elements of the real world with just a hint of magic in it; the magical element is not grand like fantasy or high fantasy genres, but the world is not exactly the same as realistic fiction stories
12. simple & straightforward; characters of the same age as the reader (elementary age); child’s point of view; fantastical concepts without major concern to reality
13. dream sequences; irrational elements of fantasy; juxtapositional contrasts; unconscious mind; subconscious thoughts; focus on character’s discovery of self in their unconsciousness
21. spectacular physical action; narrative emphasis on fights, chases, and explosions; high-stakes; high-energy; fast-paced events
22. harsh; hostile; wide-open landscape/earthly scenery; hero, victim, villain; damsel in distress; hero operates outside of the law; cowboys and Native Americans; prairie and the open road; set in wild west in America

Across

1. Parts that are identical so they can be easily replaced
5. organelle that transports materials through the cell
9. a graph often used to show change over time
10. molecules that build up our bodies and carry out important processes
11. Mushy/thick liquid layer between the crust and the core
13. A point at which two objects reach the same temperature
14. Movement of air from an area of high pressure to low pressure
17. A chart or "family tree" that tracks which members of a family have a particular trait
24. An organism's genetic makeup, or allele combinations
25. Wind from the land to the ocean
30. A reproductive process that involves only one parent and produces offspring that are identical to the parent
33. The measure of the amount of gravity on an object
34. A tectonic plate boundary in which two plates slide past each other.
37. Energy produced by the vibrations of electrically charged particles
38. Outermost, rigid layer of the Earth that consists of the crust and the rigid upper mantle part of the mantle
40. The solid, dense center of the Earth
41. A force that stretches something (opposite of compression)
42. A hypothesis that has been tested with a significant amount of data
43. An upward force on an object (such as a wing) that opposes the downward pull of gravity
46. elements that are shiny and are good conductors of thermal energy and electric current
48. the ability to be pounded into thin sheets
49. When the Moon appears dark because the Earth blocks the Sun's light from reaching the Moon
50. Law saying that mass is neither created nor destroyed
53. A material that heat and electricity cannot pass through
54. Daily movements of ocean water that change the level of the ocean's surface
55. An atom with a positive or negative charge
56. A chart that shows all the possible combinations of alleles that can result from a genetic cross
58. The process used to measure the volume of an object by finding the volume in a graduated cylinder before and after the object is added
60. In an experiment, the group that is not exposed to the treatment
61. The use of machines, tools and labor to make things for use or sale
62. A testable prediction, often implied by a theory

Down

2. Total energy of the particles in an object
3. the speed of an object in a particular direction
4. an inherited behavior that helps an organism survive
6. When a more dense tectonic plate (oceanic) slides under a less dense plate (continental)
7. Bonds formed by the attraction between negative and positive ions; transfer electrons
8. Goods in which many are made at the same time and have interchangeable parts
12. A state of matter in which matter takes the shape of the container and has a definite volume
15. Energy of motion
16. organelle that builds proteins
18. rate at which an object moves
19. Basic unit of life
20. a graph used to compare data in different categories
21. selective breeding of plants and animals to promote the occurrence of desirable traits in offspring
22. The period of time that it takes an object to revolve around the Sun
23. DNA coiled into an X shape and stored in the nucleus
26. combination of all the forces acting on an object
27. Energy caused by an object's vibrations
28. a physical feature of an organism's body having a specific function that contributes to the survival of the organism
29. A process in which individuals that have certain inherited traits tend to survive and reproduce at higher rates than other individuals because of those traits
31. A measure of the average kinetic energy of the particles in an object
32. powerhouse of the cell
35. The tendency of an obect to resist change in motion
36. A combination of two or more substances that are not chemically combined
39. two or more forces that do not cancel each other out and result in a net force
44. change in a DNA sequence that affects genetic information
45. A measure of the amount of matter in an object
47. An organism's physical appearance, or visible traits
51. A statement that can be proven
52. A reproductive process that involves two parents that combine their genetic material to produce a new organism, which differs from both parents
57. The gradual change in a species over time
59. a strong, supportive structure made of triangles

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2. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
4. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
5. angles The pair of angles opposite each other formed by two intersecting lines.
8. The figure formed by two rays from the same initial point. The two rays are called the sides of the angle and the initial point is called the vertex of the angle.
11. A straight line along which two faces of a solid meet. A rectangular solid has twelve edges.
13. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
15. The total sum of angles added together to equal 90 degrees
19. A three-dimensional figure bounded by plane polygonal faces. The point at which three or more faces meet is called a vertex. A line along which two faces meet is called an edge.
20. rays Rays that are opposing one another
21. Shape
22. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
23. angles Two angles that share the same vertex and have one side in common between them.
24. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
25. Two angles that add up to 180°.
27. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
31. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane.
32. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
33. Side by side
34. Lying on the same straight line.
36. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved.
37. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
38. polygon When at least one of the interior angles of a polygon is greater than 180°, it is a concave polygon.
40. angle 90 degree angle
42. They are straight lines that are neither parallel, nor intersecting.
43. A perfect round ball. A sphere is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.

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1. segment Part of a line between two points called endpoints.
2. A point is a location in space
3. polygon The outside of a circle or an ellipse is the convex side; so is the outer surface of a sphere.
6. Also called half-line. It is a straight line that extends from a point.
7. A tubular solid with a circular base. Usually, this term implies a right cylinder that can be formed by rotating a rectangle about one of its sides.
9. pair A pair that is linear
10. angle An angle with a measure between 0° and 90°.
12. A planar surface of a solid figure.
14. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
15. The boundary, or length of the boundary, that encloses a curved plane figure, usually a circle.
16. Two lines that intersect at right angles.
17. The longest side opposite the right angle in a right triangle.
18. An initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.
22. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are congruent.
26. The length of the boundary around a shape or a figure.
27. An ordered pair
28. Points or lines that all lie in the same plane.
29. The point on a line segment that divides the given line segment into two congruent parts.
30. term Term that has not yet been defined
32. Having one thing on either side of it. 2 is between 1 and 3.
35. Half of the diameter of a circle
39. angle An angle that is between 90° and 180°.
41. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.

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5. the general feeling or atmosphere of a text
7. this play features a family on Chicago's south side, waiting on an insurance check to change their lives
8. a statement of one thing as another in order to show similarities
9. intentional exaggeration to make a point or emphasis
10. this fictional character gets a dog for her apartment
12. this novel features a male teen protagonist who spends much of his time in the OASIS
14. this fictional character's dream is to buy her family a house
16. an event that seems deliberately contrary to what one would expect, resulting in humor or tragedy
17. the search for an Easter egg takes place in here
20. this E11 teacher is childless
24. a poem in which the first letter of each line spells out a word, name, or phrase when read vertically
25. the creator of the OASIS
28. an expression designed to call something to mind without mentioning it explicitly; an indirect or passing reference
31. topic + opinion
32. a traditional Japanese poem with 3 lines and 17 syllables
34. this fictional character kills Jay Gatsby
36. a type of language that consists of words and phrases that are regarded as very informal
39. emotional or motivational appeals; vivid language; sensory details
41. prejudice in favor of or against one thing, person, or group compared with another, usually in a way considered to be unfair
42. this type of writing explains what is done in a piece of writing and how it is done
45. a source’s credibility and/or the speaker’s authority
46. this fictional character is having an affair with Myrtle Wilson
48. a series of events following the initial incident and leading up to the dramatic climax
50. a preconceived notion, especially about a group of people
51. the distribution of wealth, opportunities, and privileges within a society
52. giving human characteristics to nonhuman objects or ideas
54. an imagined state or society in which there is great suffering or injustice
55. a 5 line poem, usually humorous, with a strict rhyme scheme of AABBA
56. this novel features messy love triangles in the 1920s

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1. the series of events following the climax
2. this E11 teachers is going to be a grandma
3. a statement that rebuts a previous claim
4. a statement or assertion that something is true
6. a type of writing that tells a story
11. the art of oratory
13. this fictional character kills Myrtle Wilson
15. suggestions or warnings about events to come are dropped or planted
18. this fictional character aspires to open a liquor store
19. an imaginary community or society that possesses highly desirable or near-perfect qualities for its members
21. the attitude the author has about a certain subject
22. a version of metaphor that extends over the course of multiple lines, paragraphs, or stanzas of prose or poetry
23. this fictional character's real name is James Gatz and love Daisy Buchanan
24. the ideal that every citizen of the United States should have an equal opportunity to achieve success and prosperity through hard work, determination, and initiative
26. an object, a person, a situation, or an action that has a literal meaning in a story but suggests or represents other meanings
27. a widely held but fixed and oversimplified image or idea of a particular type of person or thing
29. this fictional character is the protagonist of Ready Player One
30. a poem that doesn’t rely on any particular form, meter, or rhyme scheme, yet still conveys powerful feelings and ideas
33. this type of writing shows similarities between two pieces of literature
35. the logic used to support a claim; can also be facts/statistics used to help support an argument
37. the part of a plot that introduces the theme, chief characters, and current circumstances
38. the solution, clarification, and/or unraveling of the plot
40. a sonnet is a poem of fourteen lines, with three quatrains followed by a rhyming couplet
41. this E11 teacher has a toddler
43. the comparison of two things using "like" or "as"
44. vivid descriptions that appeals to a reader's' senses to create an image or idea in their head
47. a particular form of a language that is peculiar to a specific region or social group
49. this type of writing show differences between two pieces of literature
53. the point of greatest intensity in a series or progression of events in a plot

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2. A method of designing structural elements such that the allowable strength is greater than or equal to the strength necessary to support the required load combinations.
5. The perpendicular distance from a reference point to the line of action of the force.
7. Deformation under stress.
8. The weight of movable objects such as people, furnishings, machines, vehicles, and goods in or on a building.
14. The applied load determined by the required load combinations.
15. A force acting generally in a horizontal direction, such as wind, earthquake, and soil pressure against a structure.
16. The internal force, usually in a beam, which acts in the plane of the cross-section of the beam.
19. A category used to determine structural requirements based on occupancy of the building.
20. Nominal strength divided by the safety factor.
24. A horizontal beam that supports other beams
28. A structural member, usually horizontal, that carries a load that is applied transverse to its length.
29. A change in the shape of a structure or structural member caused by a load or force acting on the structure.
31. Force per unit area.
32. The lowest, widest part of the foundation that distributes the load over a broad area of the soil.
34. A foundation that transfers building loads into the earth well below the building structure.
35. A diagram used to isolate a body from its environment, showing all external constraints and forces acting upon it and all geometric measurements necessary to model the body.
37. A plot of the internal moment in a beam versus position along the axis of the beam.
38. A long slender piece of material driven or drilled into the ground to act as an element of a foundation.
39. A unit of weight equal to 1000 pounds.
40. An assembly of structural members joined to form a rigid framework, usually connected to form triangles.

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1. Pressure from the wind that can cause lateral loads as well as uplift on the roof or downward pressure.
3. A beam that is supported on one end by a pin support and supported on the other end by a roller support.
4. Forces or other actions that result from the weight of building materials, occupants and their possessions, and environmental effects.
6. An upright structural member acting primarily in compression.
7. A factor intended to compensate for uncertainties in design and analysis by reducing the theoretical strength of a member for use in design.
9. A continuous system of structural elements that transfer an applied load to the supporting soil.
10. A reinforced concrete beam that transmits the load from a bearing wall into a spaced foundation such as pile caps or caissons.
11. The distance between supports for a beam, girder, truss, or other horizontal structural member; to carry a load between supports.
12. A load on a structure caused by movement of the Earth relative to the structure during an earthquake.
13. The weight of the building or building components
17. A foundation that transfers building loads into the Earth at the base of a column or bearing wall.
18. An engineer that is licensed to design the structural systems for a building.
21. A plot of the shear force in a beam versus the position along the axis of the beam.
22. The force exerted upon a body due to gravitational attraction to a planet.
23. A single beam that is supported by more than two supports such that it has at least two distinct spans.
25. The lower part of a building, which transfers structural loads from the building to the soil.
26. The width of floor or roof along the length of a beam, measured perpendicular to the beam, representing the portion of surface from which an applied uniform load is assumed to transfer to that beam.
27. The area of floor or roof representing the surface area from which an applied uniform load is assumed to transfer to a supporting structural member.
30. The state of a body such that the sum of all the external forces acting on the body equals zero and the sum of all external moments acting on the body equals zero.
31. A wide shallow footing usually constructed of reinforced concrete.
33. The use of physical laws and mathematics to compute internal forces, stresses, and deformation
35. An agent that causes stress in an object.
36. A condition of a frame or structure in which a slight disturbance in the loads or geometry of the structure does not produce large displacements or failure.

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4. Lying on the same straight line.
6. A flat surface that can extend forever in length and width but has no thickness.
7. A closed plane figure bounded by at least three line segments.
8. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
11. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
12. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
13. The path of a point moving in opposite directions infinitely. A line has neither width nor thickness but length. It is the shortest distance between two points.
14. A statement accepted as true without proof.
15. The set of all the elements within a particular universal set that are not elements of the given set.
16. Part of a line between two points called endpoints.
19. A convex curve is a set of points any of whose chords do not include any point that is not in the set.
20. Two angles that share the same vertex and have one side in common between them.
23. The boundary line of a circle or the length of such a boundary line.
24. The length of the boundary around a shape or a figure.
26. Two lines that intersect at right angles.
29. Points or lines that all lie in the same plane.
30. The side opposite the right angle in a right triangle.
32. The side facing a given angle in a triangle. It is the side not forming one arm of the angle.
36. term A linear system of equations that has fewer equations than variables.
37. A planar surface of a solid figure.
38. A pair of adjacent angles formed by intersecting lines.
41. Two or more straight coplanar lines that do not intersect.
42. Also called half-line. It is a straight line that extends from a point.
43. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure. A point shared by three or more sides of a solid figure.
44. A closed solid bounded by a surface on which all points are equidistant from a central point called the center.

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1. They are straight lines that are neither parallel, nor intersecting.
2. Two angles that add up to 180°.
3. The point on a line segment that divides the given line segment into two congruent parts.
4. A can-shaped solid figure.
5. It is the angle between two perpendicular lines such as the corner of a square or two perpendicular planes such as the wall and the ground.
9. The pair of angles opposite each other formed by two intersecting lines.
10. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
17. A line segment where two faces of a polyhedron meet.
18. When at least one of the interior angles of a polygon is greater than 180°
21. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
22. An angle that is between 90° and 180°.
23. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
25. A line segment that passes through the center of a circle and has its two endpoints on the circle. A line segment that passes through the center of a sphere and has its two endpoints on the surface of the sphere.
27. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
28. Planar figures or solid shapes that have the same shape and size.
31. A solid bounded by at least four polygonal faces.
33. Two things that are located or facing directly across.
34. An angle with a measure between 0° and 90°.
35. A space figure with two parallel polygonal bases that are the same shape and the same size.
39. The distance from the center of a circle to any point on its circumference.
40. The two rays are called the sides of the angle and the initial point is called the vertex of the angle.
41. A geometric object that has no dimension and is used to indicate a location.
45. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.

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5. A statistical method used to determine the relationship between variables, often used for prediction.
8. A trigonometric function representing the ratio of the opposite side to the adjacent side in a right triangle.
9. A function in which the variable is an exponent, often represented as y=a⋅b^x
13. A trigonometric function representing the ratio of the adjacent side to the hypotenuse in a right triangle.
19. The point where a graph crosses the axes; x-intercepts occur on the x-axis, and y-intercepts on the y-axis.
22. A value of the variable that makes a function equal to zero, also known as a root.
26. behavior The behavior of a function as the input values approach positive or negative infinity.
27. A set of values that specify a point's location in a space, often expressed as (x, y).
28. A trigonometric function representing the ratio of the opposite side to the hypotenuse in a right triangle.
31. A transformation that moves a graph horizontally or vertically without changing its shape.
32. A change made to a function or graph that alters its position, size, or shape.
35. A trigonometric function representing the ratio of the length of the opposite side to the length of the adjacent side in a right triangle, or the slope of the angle in the unit circle.
36. A trigonometric function that represents the reciprocal of tangent.
38. The difference between the observed value and the value predicted by a regression model.
41. A transformation that alters the size of a graph, making it wider or narrower.
42. The horizontal line that represents the average value of a periodic function, dividing the wave into equal halves.
43. The set of all possible output values (y-values) of a function.
47. A function that reverses the effect of the original function, swapping inputs and outputs.
48. The value that a function approaches as the input approaches a certain point.
49. A function that can be expressed as the ratio of two polynomials.
50. The set of all possible input values (x-values) for a function.

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1. Numbers that include a real part and an imaginary part, typically in the form a+bi.
2. a function that serves to “undo” another function.
3. A polynomial of degree two, often represented in the form ax^2+bx+c.
4. A point in the graph of a function where it is undefined due to a removable discontinuity.
6. A visual representation of the relationship between variables, typically plotted on a coordinate plane.
7. Information collected for analysis, often represented in tables or graphs.
10. A structured arrangement of data in rows and columns for easy reference.
11. Referring to functions that have the shape of sine or cosine waves, characterized by periodic oscillations.
12. The length of one complete cycle of a periodic function, such as sine or cosine.
14. A polynomial of degree one, represented in the form y=mx+b.
15. A sequence of numbers with a constant ratio between consecutive terms.
16. A line that a graph approaches but never touches or crosses.
17. A mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, and ≥.
18. The process of breaking down an expression into simpler components, or factors, that multiply to give the original expression.
20. The branch of mathematics dealing with the relationships between angles and sides of triangles.
21. A sequence of numbers with a constant difference between consecutive terms.
23. A function that represents the inverse of exponentiation, often in the form y=logb (x).
24. A trigonometric function that represents the reciprocal of sine.
25. One of the four sections of the Cartesian plane, defined by the signs of the coordinates.
29. A type of asymptote that occurs when the degree of the numerator is one more than the degree of the denominator in a rational function.
30. A coordinate system that represents points using distance from a reference point and angle from a reference direction.
33. The measure of the steepness of a line, calculated as the rise over run between two points.
34. The maximum distance a wave or periodic function reaches from its midline.
37. A unit of angle measurement based on the radius of a circle, where one radian corresponds to an arc length equal to the radius.
39. A range of values, often represented by two endpoints, indicating where a function is defined or certain conditions hold.
40. Circle A circle with a radius of one, used to define trigonometric functions for all angles.
43. A transformation that flips a graph over a specified line, such as the x-axis or y-axis.
44. A polynomial with exactly two terms, such as a+b.
45. A trigonometric function that represents the reciprocal of cosine.
46. An expression consisting of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

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2. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
4. angle An angle with a measure between 0° and 90°.
6. polygon The outside of a circle or an ellipse is the convex side; so is the outer surface of a sphere.
8. Having one thing on either side of it. 2 is between 1 and 3.
11. rays Rays that are opposing one another
12. pair A pair that is linear
14. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
16. An initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.
19. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
20. The figure formed by two rays from the same initial point. The two rays are called the sides of the angle and the initial point is called the vertex of the angle.
23. Side by side
25. The longest side opposite the right angle in a right triangle.
27. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane.
28. polygon When at least one of the interior angles of a polygon is greater than 180°, it is a concave polygon.
30. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
32. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
33. A straight line along which two faces of a solid meet. A rectangular solid has twelve edges.
34. segment Part of a line between two points called endpoints.
36. The boundary, or length of the boundary, that encloses a curved plane figure, usually a circle.
39. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
40. The length of the boundary around a shape or a figure.
42. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are congruent.
44. angle 90 degree angle
45. Half of the diameter of a circle
46. term Term that has not yet been defined
47. They are straight lines that are neither parallel, nor intersecting.

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1. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
3. Shape
5. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved.
7. angles The pair of angles opposite each other formed by two intersecting lines.
9. A point is a location in space
10. A three-dimensional figure bounded by plane polygonal faces. The point at which three or more faces meet is called a vertex. A line along which two faces meet is called an edge.
13. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
15. A perfect round ball. A sphere is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.
17. Also called half-line. It is a straight line that extends from a point.
18. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
21. The total sum of angles added together to equal 90 degrees
22. A planar surface of a solid figure.
23. Two lines that intersect at right angles.
24. Two angles that add up to 180°.
26. angles Two angles that share the same vertex and have one side in common between them.
29. Points or lines that all lie in the same plane.
31. Lying on the same straight line.
35. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
37. An ordered pair
38. The point on a line segment that divides the given line segment into two congruent parts.
41. A tubular solid with a circular base. Usually, this term implies a right cylinder that can be formed by rotating a rectangle about one of its sides.
43. angle An angle that is between 90° and 180°.

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7. A three-dimensional figure bounded by plane polygonal faces.
8. A unit of measure used to measure the magnitude of an angle
9. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
10. A line segment that passes through the center of a circle and has its two endpoints on the circle
11. An angle with a measure between 0° and 90°.
12. The figure formed by two rays from the same initial point. The symbol for this is .
14. The boundary line of a circle or the length of such a boundary line.
17. An angle that measures 90°
19. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
22. The pair of angles opposite each other formed by two intersecting lines.
27. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
28. The geometric figure formed by two points. This is the straight path connecting two points and extending beyond the points in both directions.
29. Intuitively speaking, curved outward or toward the eye. the outer surface of a sphere is this
34. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting. They lie in different planes.
39. Two or more straight coplanar lines that do not intersect.
40. a solid formed by rotating a right triangle around one of its legs.
41. Lying on the same straight line.
42. The geometric figure formed at the intersection of two distinct lines.
43. a term or word that doesn't require further explanation or description
46. Points or lines that all lie in the same plane.
47. All points between two given points (including the given points themselves).
48. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.

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1. A flat surface extending in all directions.
2. Having one thing on either side of it
3. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
4. The longest side opposite the right angle in a right triangle.
5. The length of the boundary around a shape or a figure.
6. A method of defining the position of a point by its perpendicular distance from two or more reference lines.
11. Two angles that share the same vertex and have one side in common between them.
13. A straight line along which two faces of a solid meet. A rectangular solid has twelve of these
15. When the sum of the measures of two angles is 90°
16. An angle that is between 90° and 180°.
17. Also called half-line. It is a straight line that extends from a point.
18. A three dimensional solid consisting of all points equidistant from a given point. A ball is this
20. A plane figure bounded by three or more straight-line sides.
21. Two lines that intersect at right angles.
23. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
24. Intuitively speaking, curved away from the eye.The inside surface of a bowl is this when viewed from above.
25. An additional geometric figure that is made to assist in solving a problem or producing a proof.
26. Two or more rays across from each other
30. A pair of adjacent angles formed by intersecting lines.
31. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are this
32. Two angles that add up to 180°.
33. An initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.
35. A planar surface of a solid figure.
36. The point on a line segment that divides the given line segment into two congruent parts.
37. One of the two pairs of equal angles formed when two straight lines intersect each other.
38. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
44. The distance from the center of a circle to any point on its circumference.
45. A tubular solid with a circular base.

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3. Law saying that mass is neither created nor destroyed
4. A combination of two or more substances that are not chemically combined
5. DNA coiled into an X shape and stored in the nucleus
7. A testable prediction, often implied by a theory
9. organelle that transports materials through the cell
11. Total energy of the particles in an object
13. selective breeding of plants and animals to promote the occurrence of desirable traits in offspring
16. The process used to measure the volume of an object by finding the volume in a graduated cylinder before and after the object is added
17. A material that heat and electricity cannot pass through
20. a graph often used to show change over time
21. molecules that build up our bodies and carry out important processes
22. Basic unit of life
24. The use of machines, tools and labor to make things for use or sale
25. The solid, dense center of the Earth
26. Wind from the land to the ocean
27. The tendency of an obect to resist change in motion
28. Energy of motion
32. a physical feature of an organism's body having a specific function that contributes to the survival of the organism
33. a graph used to compare data in different categories
34. Mushy/thick liquid layer between the crust and the core
35. A state of matter in which matter takes the shape of the container and has a definite volume
36. A chart or "family tree" that tracks which members of a family have a particular trait
38. A force that stretches something (opposite of compression)
40. A process in which individuals that have certain inherited traits tend to survive and reproduce at higher rates than other individuals because of those traits
41. combination of all the forces acting on an object
43. A chart that shows all the possible combinations of alleles that can result from a genetic cross
44. A measure of the average kinetic energy of the particles in an object
46. organelle that builds proteins
47. When the Moon appears dark because the Earth blocks the Sun's light from reaching the Moon
50. the ability to be pounded into thin sheets
52. The period of time that it takes an object to revolve around the Sun
55. an inherited behavior that helps an organism survive
56. elements that are shiny and are good conductors of thermal energy and electric current
57. powerhouse of the cell
58. a strong, supportive structure made of triangles

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1. A reproductive process that involves only one parent and produces offspring that are identical to the parent
2. Outermost, rigid layer of the Earth that consists of the crust and the rigid upper mantle part of the mantle
6. A measure of the amount of matter in an object
8. A reproductive process that involves two parents that combine their genetic material to produce a new organism, which differs from both parents
10. Movement of air from an area of high pressure to low pressure
12. An organism's genetic makeup, or allele combinations
14. Bonds formed by the attraction between negative and positive ions; transfer electrons
15. Energy caused by an object's vibrations
18. A point at which two objects reach the same temperature
19. Energy produced by the vibrations of electrically charged particles
20. An upward force on an object (such as a wing) that opposes the downward pull of gravity
22. In an experiment, the group that is not exposed to the treatment
23. The measure of the amount of gravity on an object
29. A statement that can be proven
30. Daily movements of ocean water that change the level of the ocean's surface
31. A tectonic plate boundary in which two plates slide past each other.
37. Goods in which many are made at the same time and have interchangeable parts
39. Parts that are identical so they can be easily replaced
42. two or more forces that do not cancel each other out and result in a net force
44. A hypothesis that has been tested with a significant amount of data
45. rate at which an object moves
48. An atom with a positive or negative charge
49. When a more dense tectonic plate (oceanic) slides under a less dense plate (continental)
50. change in a DNA sequence that affects genetic information
51. An organism's physical appearance, or visible traits
53. the speed of an object in a particular direction
54. The gradual change in a species over time

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3. You’re my best friend
4. I maybe didn’t love this song the first time I heard it, but thank you for waiting for me to come around
6. Riddance The Green Day song that I think you like the best?
10. Please don’t tell people how much I made you play this song, I will not be flying you to France
14. It is a good thing that you view me as this to you, because I don’t think I’ll ever own any range rovers or expensive jaguars.
15. I am falling, I am fading, I am drowning, but at least you help me to breathe
16. It was always on the tip of my tongue, though I didn’t read it in an article on the internet, I heard it in this song
17. We can agree to hate the artist, but this song is magical and takes me back precisely to that moment, you know the one I’m talking about
18. Her friends in this song are The Devil Wears Prada level bad
19. A song not exactly about Roman mythology, anyway I hope you’ll still let me make you this
20. This song’s artist was very important to your cultural development, coincidentally this song is also somewhat like your deck
23. When we sing this song, we’ll shake the frame of your car. Remember Joyce, you got…
24. Podrick probably thinks a lyric from this song when attempting to help Brienne remove her armor
26. This McAlpine song is what I played over my favorite picture of Gullfoss
27. You might have a few pictures of me sleeping like a lamb and vice versa, but don’t worry, I’ll break the cycle of this.
30. We’ll probably end up visiting the title of this Phoebe Bridgers song this Summer
32. She gave us the songs on this album, but we’ll finish the story ourselves actually
34. Even if you don’t agree, I have a bracelet that reminds me of the prettiest eyes I’ve…
35. Chiffon Maybe one day you’ll be out til dawn with a mini skirt and roller blades on, if not, you’re still just as soft as this

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1. actually quite like this band too, but I do not know them nearly as well as high-school you. Their song titles are all too long to make an answer here
2. There’s a beauty in the silence that I chalk up to Christmas time. Also a beauty in this song.
5. I’m sorry I got to see this artist without you, I’m sure we’ll play him a bunch on our trip and we’ll make it to a concert together one day
7. I’m not sure if you like the song dedicated to the cult of this greek god, but I’m feeling devious and you’re looking glamorous
8. We’re not exactly headed to the Rockies this trip, but regardless, when I lay my head I hope it’s always…
9. There is a scene that’s always coming to me where we’re in the supermarket, but it isn’t exactly like how it’s described in this song
11. This speeding song got a little too much attention from Hayley Williams
12. All of this artist’s songs are about breakups, hard to write a cute clue, but that’s just the way life goes
13. No No No! I can’t believe it took you so long to listen to this song. This movie is so up your alley
21. I don’t think this artist intended for their song to stir up memories of magical midnight hotdogs and waterfalls, but it did feel like a dream
22. Thank you for helping me find the name of this song and letting it become my most played of 2024, I always think of you when I hear it and I love singing it together
25. Jesus, she is the queen of love triangles
28. They need to play this song more often in race to the edge, I could probably listen to it for 4 hours and 39 minutes
29. You’ve got this golden way of making my body sway, maybe you’re one of these
31. Story I’m very sorry but this is probably still my favorite TS song. Hopefully I can still be the prince.
33. One of the only songs that you recognized from a certain opener, and it wasn’t Humongous

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4. Blind Greek poet known for his epics: "The Iliad and The Odyssey."
8. to trade one good for another
10. Greek sculptor who is known for the statue of Athena in the Parthenon.
12. Greek philosopher who is known for his strong beliefs on government. These can be found in his text "The Republic." He was also a teacher of Aristotle.
14. government where rule is done by a single ruler, usually a king or queen. Power is usually inherited, like a dynasty
15. Greek tyrant known for his extreme policies such as debt slavery
16. A series of wars between the Persian Empire and Greece. These wars united the Greek city states against a common external enemy: the Persians
17. a major battle at sea during the Persian Wars. The Greeks (Athenian navy) was able to defeat the Persians by using battering rams located at the front of their ships. The Athenian naval commander Themistocles also surprised the Persians with the time of his attack.
18. Greek philosopher who argued people must use question and reasoning to find the truth in things. He was condemned to death. Rather than let the government kill him, he poisoned himself with hemlock. He was also a teacher of Plato.
24. Macedonian conqueror. He expanded his power into Africa and to the border of India. Considered one of the greatest conquerors of all time. He named many cities in the lands he conquered after himself: Alexandria.
26. A prosperous time period in Athens between the two major wars: Persian and Peloponnesian. Pericles instituted direct democracy and had Athens rebuilt, including the commission of the Parthenon.
27. Greek city-state
30. a system of government in which citizens are involved in the law making process
31. Greek physician who is known as the father of modern medicine. Today people in the medical profession are required to take the Hippocratic Oath.
34. Greek playwright who is known for his play Prometheus Bound.
35. Greek scientist and mathematician known for developing the lever and pulley as well as accurately estimating pi
36. An alliance formed by the Greek city states in order to defeat the Persians during the Persian Wars.
37. government where the law making decisions are in the hands of a small group

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1. gods and stories that are used to explain the natural phenomena and flaws of the world
2. Father of Alexander the Great who conquered most of Greece.
3. Greek historian who wrote about the Peloponnesian Wars. He said that in order to provide accurate history, scholars must avoid bias in their research.
5. Greek mathematician known for his work in geometry. As such, he is called the father of geometry. His work is collected in a book called "The Elements"
6. A unique blended culture spread by Alexander the Great that included cultures from the places of his conquests: Persia, India, Greece, and Egypt.
7. Lands that surround the Aegean Sea
9. Greek mathematician known for his work with triangles. He developed the Pythagorean Theorem.
10. An alliance formed between Greek city states on Peloponnesus in order to defeat Athens who became a dominant power after the Persian Wars.
11. Only free adult males
12. the belief in more than one god
13. Greek philosopher who believed logic needed to be used to find the golden mean. He was also a teacher of Alexander the Great.
19. Greek historian known as the father of history. He wrote about the Persian Wars and said that we must re-search in order to accurately portray history.
20. Greek leader who led Athens into a golden age.
21. A city state of ancient Greece and a major battle site of the Persian Wars. The Greeks, unexpectedly, defeated the Persians in the battle. A man named Pheidippides ran 26.2 miles to Athens to deliver the news.
22. government where law making decisions are in the hands of a group of elite members of society
23. A war that was caused by competition between Greek city states after Athens became powerful following the Persian Wars. Sparta created an alliance with the Persians in order to defeat the Athenians.
25. a form of government in which the ruler is an absolute dictator
28. Greek ruler who ended the policy of debt slavery
29. Greek playwright who is known for his play Oedipus
32. Greek for "high city". The chief temples of the city were located here.
33. paper money (or coinage)

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5. A flat surface extending in all directions. Any three noncollinear points lie on one and only one plane. So do any two distinct intersecting lines. A plane is a two-dimensional figure.
8. rays Two rays with a common endpoint that point in opposite directions and form a straight line.
9. Point B is between points A and C if it is on the line segment connecting A and C.
11. angle An angle that has measure more than 90° and less than 180°.
14. pair Two angles that are adjacent and supplementary
15. Lying in the same plane.
17. Exactly equal in size and shape.
19. the act or art of constructing.
21. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
26. The side opposite the right angle in a right triangle.
27. Two acute angles that add up to 90°.
28. Two lines that intersect at right angles.
29. angle An angle that has measure less than 90°.
31. Two angles that add up to 180°.
36. Two or more straight coplanar lines that do not intersect.
38. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
40. One of the flat surfaces making up a polyhedron.
41. Two rays sharing a common endpoint. Angles are typically measured in degrees or radians.
42. A space figure with two parallel polygonal bases that are the same shape and the same size.
43. A closed plane figure for which all sides are line segments. The name of a polygon describes the number of sides. A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon.
44. The geometric figure formed at the intersection of two distinct lines.
45. angle An angle that measures 90°

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1. polygon A shape or solid which has an indentation or "cave".
2. A perfect round ball.
3. A corner point of a geometric figure. For a polygon, vertices are where adjacent sides meet. For an angle, the vertex is where the two rays making up the angle meet.
4. The length of the boundary around a shape or a figure.
6. segment All points between two given points (including the given points themselves).
7. On the coordinate plane, the pair of numbers giving the location of a point (ordered pair).
9. A line segment, line, or plane that divides a geometric figure into two congruent halves.
10. A three dimensional figure with a single base tapering to an apex.
12. A three-dimensional geometric figure with parallel congruent bases.
13. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
16. polygon A geometric figure with no indentations.
17. A complete circular arc. Circumference also means the distance around the the outside of a circle.
18. A line segment where two faces of a polyhedron meet.
20. A solid bounded by at least four polygonal faces. The pairs of faces meet along their edges. Three or more edges meet in each vertex.
22. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting. They lie in different planes.
23. Lying on the same line.
24. angles The pair of angles opposite each other formed by two intersecting lines.
25. Also called half-line. It is a straight line that extends from a point.
30. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved.
32. term without fixed limits; indefinite in form, extent, or application
33. Logic. a proposition that requires no proof, being self-evident, or that is for a specific purpose assumed true, and that is used in the proof of other propositions
34. The point on a line segment that divides the given line segment into two congruent parts.
35. The size of a surface.
37. The distance from the center of a circle to any point on its circumference.
39. angles Two angles in a plane which share a common vertex and a common side but do not overlap. Angles 1 and 2 below are adjacent angles.
43. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.

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7. the ordered pair that gives the location or position of a point on a coordinate plane determined by the point’s distance from the x and y axes
9. a plane curve resulting from the intersection of a cone by a plane that looks like a slightly flattened circle
10. the factors or terms in a mathematical expression or equation
12. an algebraic expression or equation with more than one term constructed from variables and constants using only the operations of addition subtraction multiplication and non negative whole number exponents
14. the study of size shape and relative position of figures or the study of lines angles shapes and their properties
16. mathematics using symbols or letters to represent variables values or numbers
18. whole numbers both positive and negative including zero
20. study motion and changing values through use of derivatives and integrals
24. the mathematical operation where a number is multiplied by itself a specified number of times
25. either a single number or variable or a product of several numbers or variables separated from another term by a plus or minus sign in an algebraic expression or equation
30. a step by step procedure by which an operation can be carried out
32. grounded in the rigorous formulation of calculus and grounded in the notion of a limit
33. the study of quantity as a result of combining numbers
34. a relation or correspondance between two sets in which one element of the second set is assigned to each element of the first set
36. the ratio of a circumference of a circle to its diameter which is an irrational number
38. a measure of relationship between two variables or sets of data
39. a quantity or set of numbers without bound limit or end
41. a line that the curve of a fun ruin tends toward as the independent variable of the curve approches some limit
42. a flat two-dimensional surface with infinite width and length and zero thickness and curvature

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1. a measure of how a function curve or curve changes as its input changes
2. two geometric figures that have the same size and shape so one can be transformed into the other by a combination of translation rotation and reflection
3. a smooth symmetrical curve with two branches produced by the section of a conical surface
4. quantities or objects so small that there is no way to see or measure them so for all practical purposes they approach zero as a limit
5. a number which when multiplied by x yields the multiplicative identity of one and can therefore be thought of as the inverse of multiplication
6. a steepness or incline if a line determined by reference to two points in the line
8. a one dimensional figure in geometry that follows a continuous straight path joining two or more points
11. the correspondance in size form or arrangement of parts in a plane or line
13. a way of writing rational numbers and representation ratios or division in the form of a numerator over a denominator
15. the operation in calculus of finding the derivative of a function or equation
17. a type of comic section curve any point of which is equally distinct from a fixed focus point and a fixed straight line
19. a subsidiary collection of objects that all belong to or is contained in an original given set
21. the point toward which h a series or function converged
22. a collection of distinct objects or numbers without regard to their order considered as an object in its own right
23. the branch of mathematics that studies the relationships between the sides and the angles of right triangles
26. a rule or equation describing the relationship of two or more variables or quantities
27. an ordered set whose elements are usually determined based on some function of the counting numbers
28. a polynomial algebraic expression or equation with just two terms
29. a mathematical statement or hypothesis which has been proved on the basis of previously established theorems and is effectively the proof of the truth of a statement or expression
31. the product of all the consecutive integers up to a given number
35. a number that will divide into another number exactly
37. the study of the formal laws of reasoning
40. a self-similar geometric shape produced by an equation that undergoes repeated iterative steps or recursion

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4. Three moves, each with three different status conditions that could be inflicted upon use! (without reliance on outside effects.)
6. A starter, a legendary, and a beast from the wormhole. They share one rigid type amongst themselves, as well as one starter typing each.
8. TCG:P's three debut Pokemon Tool cards.
11. Europe, but for Pokemon.
12. Not fully evolved, but somehow have had consistent usage in VGC over the years. They also complete the secondary type triangle of a certain starter trio.
14. All of these Pokemon have a Base Stat Total of 483, are legal in Paldea, and one of those three is my favorite Fairy-type Pokemon!
16. "I, too, am a member of this pre-established legendary trio!" (Despite not being legendaries themselves.)
17. The three One Piece characters I often attribute to Henry, Ethan and myself as a joke in the Discord server. (You may use Google as a resource for this one.)
18. Making a shiny form is hard work, so I suppose we can just settle for dumping our tools of choice into a paint bucket.
19. Abilities ignoring abilities without consequences? Sign me up!
20. Three Hoennian Pokemon that should never be given any silly rocks if you fear Hyper Beam or Giga Impact.

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1. Ogerpon might not be able to become the Avatar, but with these in hand she can get pretty close.
2. For Pokemon with "special" Z-Moves, their moves in question that these Pokemon have sure do have some low base power values...
3. If I had one nickel for every fully evolved bipedal dog Pokemon, I'll have a whole 15 cents to my name.
5. Unova's gyms, as of late, needed heroes, and these trainers answered the call.
7. Starters, with out the starting. Starters pequeno, if you will.
9. Of all the babies introduced in Gold and Silver, these three all share the type that appears the most out of all the babies from Johto.
10. The answer might not be aligned with the crossword's theme, but they definitely spawned out of it.
13. Each member of this full evolution line of Pokemon have been part of other answers on this crossword.
15. Combine these three Pokemon, and you get the origin of one of the dumbest lawsuits that has ever been filed against TPC.

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2. A portion of a line which starts at a point and goes off in a particular direction to infinity
5. The distance around the edge of a figure or shape. For example it is the sum of the lengths of each side ofpolygon. For circles and ellipses, it is called the circumference.
7. is a perfectly round geometricaland circular object in three-dimensional space, such as the shape of a round ball.
8. A straight line or a plane that divides a line, a
10. A flat surface that is infinitely large and with zero thickness
11. A line from the center of a circle to a point on the circle.
12. If the sum of the measures of two angles is 90°, the angles are called complementary. Whenever two
14. set of values that show an exact position.
15. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
17. The line where two surfaces meet
18. sides are triangles which meet at the top (the apex).It is a polyhedron.
19. A true statement that doesn’t require it to be proved
20. involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.
21. are complementary, each angle is said to be the complement of the other angle.
22. meets or crosses it at right angles (90°).
25. Two angles that share the same vertex and have one side in common between them.
27. The surface included within a closed figure, measuredby the number of square units needed to cover the surface.
28. The boundary line of a circle or the length of such a boundary line.
31. A pair of non-adjacent angles formed by the intersection of two straight lines
32. each of the pairs of opposite angles made by two intersecting lines
36. any angle over 90 degrees
38. A point B that lies on the line connecting two points A and C and has one of the two points on each side of it.
39. A point on a line segment that divides it into two equal parts
41. lines that are neither parallel or intersecting
42. A measure for angles. There are 360 degrees in a full rotation.
43. Two Angles are ____if they add up to 180 degrees.
45. An angle whose measure is exactly 90°
46. A precise location or place on a plane. Usually represented by a dot
47. A number of coplanar line segments, each connected end to end to form a closed shape.
48. The side opposite the right angle in a right-angled triangle

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1. Any of the individual surfaces of a solid object.
3. can be combined to define other terms.
4. Two rays with a common endpoint that point in opposite directions and form a straight line
6. A geometrical object that is straight, infinitely long and infinitely thin.
9. A solid with flat faces
12. speaking, curved outward or toward the eye. A convex curve is a set of points any of whose chords do not include any point that is not in the set.
13. the figure formed by two lines extending from the same point;
15. Lying on a common plane.
16. Polygons that have all corresponding sides and all corresponding angles congruent.
20. a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms
23. A straight line going through the center of a circle connecting two points on the circumference.
24. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are congruent.
26. a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
29. A solid object with two identical flat ends that are circular or elliptical and one curved side.
30. An angle with a measure between 0° and 90°.
33. Lying on the same straight line.
34. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
35. is a special kind of point that describes the corners or intersections of geometric shapes.
37. A geometrical object that is straight, infinitely long and infinitely thin.
40. Lines are____if they lie in the same plane, and are the same distance apart over their entire length
44. Two angles that are adjacent (share a leg) and supplementary (add up to 180°)
46. an angle, or a shape into two equal parts.
47. A solid object where the base is a polygon (a straight-sided shape)

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2. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
3. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
6. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
7. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
8. A closed solid bounded by a surface on which all points are equidistant from a central point called the center.
10. The side opposite the right angle in a right triangle.
14. The length of the boundary around a shape or a figure.
15. The path of a point moving in opposite directions infinitely. A line has neither width nor thickness but length. It is the shortest distance between two points.
18. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
19. A planar surface of a solid figure.
21. Two lines that intersect at right angles.
22. The distance from the center of a circle to any point on its circumference.
23. A pair of angles that add up to 90°.
26. non-adjacent angles formed by a pair of intersecting lines
28. A geometric object that has no dimension and is used to indicate a location.
30. The boundary line of a circle or the length of such a boundary line.
34. An angle that is between 90° and 180°.
35. Two rays sharing a common endpoint. Angles are typically measured in degrees or radians
36. A space figure with two parallel polygonal bases that are the same shape and the same size.
37. Two angles that add up to 180°.
38. Points or lines that all lie in the same plane.
42. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
43. The point halfway between two given points.
44. Part of a line between two points called endpoints.
46. an assumption used as a basis for mathematical reasoning.
47. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions

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1. Lying on the same straight line.
3. A can-shaped solid figure.
4. The path of a point moving in opposite directions infinitely. A line has neither width nor thickness but length. It is the shortest distance between two points.
5. term In geometry, definitions are formed using known words or terms to describe a new word.
8. straight lines that are neither parallel, nor intersecting.
9. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
11. two rays that both start from a common point and go off in exactly opposite directions.
12. Two angles in a plane which share a common vertex and a common side but do not overlap. Angles 1 and 2 below are adjacent angles
13. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane.
16. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
17. An angle that has measure less than 90°.
20. two lines intersect, four angles are formed. The angles that are directly opposite to each other are called Opposite Angles.
24. A point B that lies on the line connecting two points A and C and has one of the two points on each side of it.
25. A solid bounded by at least four polygonal faces.
27. Intuitively speaking, curved away from the eye. A concave figure is a set of points some of whose chords include points that are in the set.
29. a corner or a point where lines meet
31. Intuitively speaking, curved outward or toward the eye. A convex curve is a set of points any of whose chords do not include any point that is not in the set.
32. Also called half-line. It is a straight line that extends from a point.
33. A closed plane figure bounded by at least three line segments.
38. Planar figures or solid shapes that have the same shape and size.
39. Two or more straight coplanar lines that do not intersect.
40. angle An angle that measures 90° or /2 radians.
41. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
45. A line segment where two faces of a polyhedron meet.

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4. Point B is in the middle of points A and C if it is on the line segment connecting A and C.
5. A closed plane figure bounded by at least three line segments.
6. A geometric object that has no dimension and is used to indicate a location.
7. A line segment, line, or plane that divides a geometric figure into two congruent halves.
8. A statement accepted as true without proof. A postulate should be so simple and direct that it seems to be unquestionably true.
13. Two distinct coplanar lines that do not intersect.
14. Two lines that intersect at right angles.
15. Three terms Point, Line and Plane.
18. Lines in three dimensional space that do not intersect and are not parallel.
19. Two rays sharing a common endpoint. Angles are typically measured in degrees or radians.
21. A line segment between two points on the circle or sphere which passes through the center. The word also also refers to the length of this line segment.
22. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
25. Two angles in a plane which share a common vertex and a common side but do not overlap.
29. The point on a line segment that divides the given line segment into two congruent parts.
31. The pair of angles opposite each other formed by two intersecting lines.
33. A planar surface of a solid figure.
34. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
35. When two lines intersect, four angles are formed. The angles that are directly opposite to each other are called Opposite Angles.
37. pair Two angles that are adjace and supplementary.
39. The longest side opposite the right angle in a right triangle.
40. A solid with parallel congruent bases which are both polygons.
41. Is formed by taking two circles (or ellipses), putting one up above the other and wrapping a surface around to connect the edges.
43. is officially defined by the two points that it passes through.
44. A polygon that has all interior angles less than 180°
47. The surface included within a closed figure, measured by the number of square units needed to cover the surface.

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1. A part of a line starting at a particular point and extending infinitely in one direction.
2. Part of a line between two points called endpoints.
3. An angle that is between 90° and 180°.
9. A three dimensional solid consisting of all points equidistant from a given point.
10. A solid bounded by at least four polygonal faces. The pairs of faces meet along their edges. Three or more edges meet in each vertex.
11. A complete circular arc. It also means the distance around the the outside of a circle
12. Lying on the same line.
14. A flat surface that can extend forever in length and width but has no thickness.
16. An assertion that can be proved true using the rules of logic.
17. A 90° angle.
20. Any objects that lie in the same plane.
23. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
24. The distance from the center of a circle to any point on its circumference or the distance from the center of a sphere to its surface.
26. A shape or solid which has an indentation or "cave”.
27. Two rays sharing a common endpoint. Their typically measured in degrees or radians.
28. Two angles that add up to 180°.
30. On the Cartesian plane are a set of numbers officially called “an ordered pair” that are in the form ( x, y).
32. Two acute angles that add up to 90°. For example, 40° and 50°.
35. Two rays with a common endpoint that point in opposite directions and form a straight line.
36. A straight line along which two faces of a solid meet.
38. Exactly equal in size and shape. The sides or segments have the exact same length. The angles have the exact same measure.
42. A unit of angle measure equal to of a complete revolution. There are 360 in a circle. They’re indicated by the ° symbol.
44. A three dimensional figure with a single base tapering to an apex. The base can be any simple closed curve.
45. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
46. The distance around the outside of a plane figure.

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1. / a rule that pairs inputs with outputs.
3. multiplication / method of solving proportions in which you multiply the numerator of one fraction by the denominator
5. / describes a number greater then 0.
6. coefficient / the coefficient of the first term of a polynomial once its written in standard form; its term contains the variable raised to the highest power.
8. / an expression with only one term.
10. value / The positive value of the indicated number or expression./an operation that tells you how far a number is from zero.
12. square / generated by some quantity multiplied by itself. a to the second power is a perfect square because a times a equals a to the second power.
14. theorem / formula specific to right triangles stating that the hypotenuse (c) squared is equal to the sum of the squares of the remaining sides (a and b): a to the second power plus b to the second power equals c to the second power.
15. terms / terms containing variables that match exactly.
18. / also known as second degree, expression or equation in which the highest power is two. the degree is two.
20. / word for the x part of a coordinate pair.
24. / the amount of space covered by a two-dimensional object measure of a specified region in a plane.
25. - distance around the outside of a circle.
27. number / any number (weather rational or irrational, positive or negative) that can be expressed as a single decimal.
28. / a number with no variable attached to it.
29. / expression with three terms. each term is separated from the others by addition or subtraction.
30. / a statement whose two sides are either definitely not equal (if the symbol is < or >) or possibly unequal (same greater than and less than accept with lines underneath.
32. / two terms separated by addition or subtraction.
34. plane / grid used to visualize mathematical graphs.
37. / Describes a number less than 0.
39. / rule or method that is accepted as true and used over and over in common applications.
41. inverse / Number with the same numerical part but the opposite sign (plus or minus) of the given number. If zero is the sum of two numbers, then these two numbers are additive inverses of one another
43. / a number with no obvious fraction or decimal part.
45. equation / an equation of the form ax+by=c; its graph is a line in the coordinate plane.
46. / value that multiplied by itself a number of times results in the value or number wanted, such as two is the root of four because two multiplied by itself produces four.

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2. / mathematical incomplete sentence that doesnt contain an equal sign.
4. / word for the y part of a coordinate pair.
7. inverse / also known as a reciprocal, one of two numbers whose product is one. the reciprocal of a number is that particular number in the denominator of a fraction with a value of one in the numerator.
9. / a group of objects called elements or entries (usually numbers) arranged in orderly rows and columns and surrounded with brackets.
11. / to combine all that can be combined and put an expression in its most easily understandable form.
12. / the result of a multiplication problem.
13. / Values that, if substituted for the variable(s) of an equation, make that equation true.
16. / a mathematical sentence including an equal sign.
17. / if a is a factor of b, then b is divisible by a.
19. / describes a system of equations with an infinite number of solutions.
21. operation / process requiring two values to produce a third value.
22. / one of four regions in a coordinate plane defined by the x axis and y axis.
23. / real number value defined for square matrices only.
26. / number multiplied by a variable./ the number appearing at the beginning of a monomial; the coefficient of 12xy to the second power is 12.
31. / distance around a two dimensional object (the sum of the legths of its sides).
33. / value of an exponent indicating the number of times the base is multiplied by itself.
35. line / graphing system with only one axis, used to visualize inequalities containing only one unique variable.
36. / in the expression x to the second power, the exponent is 2; x will be multiplied by itself two times.
38. / letter used to represent a number.
40. / in the expression x to the second power, the base is x; x will be multiplied by itself two times./ value multiplied repeatedly in an exponential expression.
42. pair / two values inside parentheses and separated by a comma that indicate the position of a point in the coordinate plane.
44. / plotted figure in a plane.

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1. / the result of a multiplication problem.
3. / distance around a two dimensional object (the sum of the legths of its sides).
9. / expression with three terms. each term is separated from the others by addition or subtraction.
11. / a group of objects called elements or entries (usually numbers) arranged in orderly rows and columns and surrounded with brackets.
12. coefficient / the coefficient of the first term of a polynomial once its written in standard form; its term contains the variable raised to the highest power.
14. square / generated by some quantity multiplied by itself. a to the second power is a perfect square because a times a equals a to the second power.
17. inverse / Number with the same numerical part but the opposite sign (plus or minus) of the given number. If zero is the sum of two numbers, then these two numbers are additive inverses of one another
18. / value that multiplied by itself a number of times results in the value or number wanted, such as two is the root of four because two multiplied by itself produces four.
19. / a statement whose two sides are either definitely not equal (if the symbol is < or >) or possibly unequal (same greater than and less than accept with lines underneath.
20. / if a is a factor of b, then b is divisible by a.
21. / word for the x part of a coordinate pair.
22. / Values that, if substituted for the variable(s) of an equation, make that equation true.
23. - distance around the outside of a circle.
25. value / The positive value of the indicated number or expression./an operation that tells you how far a number is from zero.
27. / real number value defined for square matrices only.
30. / describes a system of equations with an infinite number of solutions.
33. / an expression with only one term.
34. / mathematical incomplete sentence that doesnt contain an equal sign.
37. / Describes a number less than 0.
38. pair / two values inside parentheses and separated by a comma that indicate the position of a point in the coordinate plane.
39. / also known as second degree, expression or equation in which the highest power is two. the degree is two.
41. operation / process requiring two values to produce a third value.
43. line / graphing system with only one axis, used to visualize inequalities containing only one unique variable.

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1. / describes a number greater then 0.
2. / plotted figure in a plane.
4. inverse / also known as a reciprocal, one of two numbers whose product is one. the reciprocal of a number is that particular number in the denominator of a fraction with a value of one in the numerator.
5. / word for the y part of a coordinate pair.
6. number / any number (weather rational or irrational, positive or negative) that can be expressed as a single decimal.
7. / letter used to represent a number.
8. / two terms separated by addition or subtraction.
10. terms / terms containing variables that match exactly.
13. / a rule that pairs inputs with outputs.
15. / number multiplied by a variable./ the number appearing at the beginning of a monomial; the coefficient of 12xy to the second power is 12.
16. theorem / formula specific to right triangles stating that the hypotenuse (c) squared is equal to the sum of the squares of the remaining sides (a and b): a to the second power plus b to the second power equals c to the second power.
21. / the amount of space covered by a two-dimensional object measure of a specified region in a plane.
23. plane / grid used to visualize mathematical graphs.
24. / to combine all that can be combined and put an expression in its most easily understandable form.
26. / one of four regions in a coordinate plane defined by the x axis and y axis.
28. / in the expression x to the second power, the exponent is 2; x will be multiplied by itself two times.
29. / a number with no obvious fraction or decimal part.
31. / rule or method that is accepted as true and used over and over in common applications.
32. equation / an equation of the form ax+by=c; its graph is a line in the coordinate plane.
35. / a mathematical sentence including an equal sign.
36. / value of an exponent indicating the number of times the base is multiplied by itself.
40. / a number with no variable attached to it.
42. multiplication / method of solving proportions in which you multiply the numerator of one fraction by the denominator
44. / in the expression x to the second power, the base is x; x will be multiplied by itself two times./ value multiplied repeatedly in an exponential expression.

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4. / value that multiplied by itself a number of times results in the value or number wanted, such as two is the root of four because two multiplied by itself produces four.
5. coefficient / the coefficient of the first term of a polynomial once its written in standard form; its term contains the variable raised to the highest power.
8. line / graphing system with only one axis, used to visualize inequalities containing only one unique variable.
9. / in the expression x to the second power, the base is x; x will be multiplied by itself two times./ value multiplied repeatedly in an exponential expression.
10. pair / two values inside parentheses and separated by a comma that indicate the position of a point in the coordinate plane.
12. / a rule that pairs inputs with outputs.
13. / the amount of space covered by a two-dimensional object measure of a specified region in a plane.
15. / mathematical incomplete sentence that doesnt contain an equal sign.
16. / distance around a two dimensional object (the sum of the legths of its sides).
22. / a mathematical sentence including an equal sign.
23. / the result of a multiplication problem.
25. inverse / also known as a reciprocal, one of two numbers whose product is one. the reciprocal of a number is that particular number in the denominator of a fraction with a value of one in the numerator.
26. / Values that, if substituted for the variable(s) of an equation, make that equation true.
27. / a statement whose two sides are either definitely not equal (if the symbol is < or >) or possibly unequal (same greater than and less than accept with lines underneath.
29. theorem / formula specific to right triangles stating that the hypotenuse (c) squared is equal to the sum of the squares of the remaining sides (a and b): a to the second power plus b to the second power equals c to the second power.
30. inverse / Number with the same numerical part but the opposite sign (plus or minus) of the given number. If zero is the sum of two numbers, then these two numbers are additive inverses of one another
32. / number multiplied by a variable./ the number appearing at the beginning of a monomial; the coefficient of 12xy to the second power is 12.
35. / also known as second degree, expression or equation in which the highest power is two. the degree is two.
36. / expression with three terms. each term is separated from the others by addition or subtraction.
39. number / any number (weather rational or irrational, positive or negative) that can be expressed as a single decimal.
40. / word for the y part of a coordinate pair.
42. terms / terms containing variables that match exactly.
44. / a number with no obvious fraction or decimal part.
45. / if a is a factor of b, then b is divisible by a.
46. multiplication / method of solving proportions in which you multiply the numerator of one fraction by the denominator

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1. / value of an exponent indicating the number of times the base is multiplied by itself.
2. / letter used to represent a number.
3. operation / process requiring two values to produce a third value.
6. / Describes a number less than 0.
7. value / The positive value of the indicated number or expression./an operation that tells you how far a number is from zero.
11. / plotted figure in a plane.
14. plane / grid used to visualize mathematical graphs.
17. / to combine all that can be combined and put an expression in its most easily understandable form.
18. / describes a system of equations with an infinite number of solutions.
19. - distance around the outside of a circle.
20. / two terms separated by addition or subtraction.
21. / a number with no variable attached to it.
24. / real number value defined for square matrices only.
28. / describes a number greater then 0.
31. / in the expression x to the second power, the exponent is 2; x will be multiplied by itself two times.
33. / rule or method that is accepted as true and used over and over in common applications.
34. / a group of objects called elements or entries (usually numbers) arranged in orderly rows and columns and surrounded with brackets.
35. / one of four regions in a coordinate plane defined by the x axis and y axis.
37. / an expression with only one term.
38. / word for the x part of a coordinate pair.
41. equation / an equation of the form ax+by=c; its graph is a line in the coordinate plane.
43. square / generated by some quantity multiplied by itself. a to the second power is a perfect square because a times a equals a to the second power.

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5. The numerical factor of a term containing a variable Example: the 3 in the term 3x
6. A mathematical statement that combines numbers, operation signs and sometimes variables
7. A comparison of two numbers using division Example: 3 to 4, 3/4, 3:4
10. Property The order in which numbers are added or multiplied does not change their sum or product. 1 + 2 = 2 + 1
12. A measure of how many times an event occurs
14. A number that can be multiplied by another number to get a given number; divides evenly into a number
15. Pair A pair of numbers in the form (x, y) that gives the location of a point on a coordinate plane
17. Variable The variable whose value is affected by the independent variable
18. The middle value in a data set ordered from least to greatest
19. Rate A rate in which the second measurement or amount is 1 unit Example: 35 miles per hour
23. A ratio that compares two quantities with different units of measure Example: 70 miles in 2 hours
24. Property 2(x + 5) = 2x + 10
29. Any part of an algebraic expression separated by a plus or minus sign.
30. The average for a set of data (add all values up and divide by the number of values you have)
32. Property The way in which numbers are grouped does not change the sum or product. (1 + 2) + 3 = 1 + (2 + 3)
34. The number of square units needed to cover a figure
35. Range The difference between the first and third quartiles in a data set
36. Common Multiple The smallest number that is a multiple of two or more numbers
40. Common Factor The largest factor two or more numbers share
41. Plot A graph the shows the least and greatest values, first and third quartiles, and median of a data set
43. of Operations The correct sequence for evaluating expressions; use GEMS
46. A solid figure whose base is a polygon and whose other faces are triangles
47. Absolute Deviation (MAD) A measure of variability; the average distance data values are from their mean in a set of data
48. Integers Whole numbers less than zero

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1. Value The distance of a number from zero on a number line
2. A ratio that compares a number to 100: "per 100" or "out of 100"
3. A touching bar graph that shows the frequency of data within equal intervals
4. A mathematical statement that compares two expressions using <, >, greater than or equal to, less than or equal to
8. Property The sum of any number and 0 equals the number. The product of any number and 1 equals the number. 5 x 1 = 5 and 5 + 0 = 5
9. Any of the four section of a coordinate plane
11. The value or values that occur most often in a data set
13. The number that tells how many times the base is used as a factor. In 5^3, the 3.
16. The difference between the least value and the greatest value in a data set
18. The product of a given number and any counting number; 5: 5, 10, 15, 20...
20. Figure Any figure that has length, width, and height; also known as a solid figure
21. A flat pattern that can be folded into a three-dimensional figure
22. Plot A data display in which each data item is shown as a dot or mark above a number line
25. A face of a solid figure; the face for which a solid is named
26. A solid figure with two parallel bases that are congruent polygons whose other faces are rectangles
27. A letter or symbol used to represent a number
28. Operations Addition and Subtraction; Division and Multiplication; "undo" each other
31. The set of counting numbers (1, 2, 3...), their opposites (-1, -2, -3...), and 0
33. A measure of the number of cubic units that fit inside a solid figure
37. A statement that two quantities are equal; contains an equal sign (=)
38. The distance around a figure
39. A value that is much greater than or much less than the other values in a data set
42. Area The total area of all surfaces of a 3D figure; has square units
43. Numbers that are the same distance from 0 on a number line Example: 8 and -8
44. Terms Terms that have the same power raised to the same power Example: 5x and 2x
45. Variable The variable whose value affects the dependent variable

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1. of angle which measure is more than 0° and less than 90°

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1. - all of the sides of this triangle are equal. What kind of a triangle is this?

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3. Has a trunk
4. Likes to chase mice
5. Man's best friend

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1. Flying mammal
2. Large marsupial

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1. Lines are____if they lie in the same plane, and are the same distance apart over their entire length
3. is a perfectly round geometricaland circular object in three-dimensional space, such as the shape of a round ball.
5. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
6. The side opposite the right angle in a right-angled triangle
8. Lying on the same straight line.
9. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
11. meets or crosses it at right angles (90°).
15. A precise location or place on a plane. Usually represented by a dot
19. A straight line going through the center of a circle connecting two points on the circumference.
20. Polygons that have all corresponding sides and all corresponding angles congruent.
23. sides are triangles which meet at the top (the apex).It is a polyhedron.
25. A pair of non-adjacent angles formed by the intersection of two straight lines
29. A solid with flat faces
31. If the sum of the measures of two angles is 90°, the angles are called complementary. Whenever two angles are complementary, each angle is said to be the complement of the other angle.
33. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
34. each of the pairs of opposite angles made by two intersecting lines
38. The boundary line of a circle or the length of such a boundary line.
39. A true statement that doesn’t require it to be proved
40. can be combined to define other terms.
44. any angle over 90 degrees
46. A point B that lies on the line connecting two points A and C and has one of the two points on each side of it.
47. A geometrical object that is straight, infinitely long and infinitely thin.

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2. An angle with a measure between 0° and 90°.
3. Two Angles are ____if they add up to 180 degrees.
4. A line from the center of a circle to a point on the circle. The distance from the center of a circle to a point on the circle.
5. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
7. Two rays with a common endpoint that point in opposite directions and form a straight line
10. The distance around the edge of a figure or shape. For example it is the sum of the lengths of each side ofpolygon. For circles and ellipses, it is called the circumference.
12. A measure for angles. There are 360 degrees in a full rotation.
13. set of values that show an exact position.
14. A portion of a line which starts at a point and goes off in a particular direction to infinity
16. involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.
17. a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms
18. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are congruent.
20. speaking, curved outward or toward the eye. A convex curve is a set of points any of whose chords do not include any point that is not in the set.
21. a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
22. Two angles that are adjacent (share a leg) and supplementary (add up to 180°)
24. A solid object with two identical flat ends that are circular or elliptical and one curved side.
26. A flat surface that is infinitely large and with zero thickness
27. lines that are neither parallel or intersecting
28. A geometrical object that is straight, infinitely long and infinitely thin.
30. the figure formed by two lines extending from the same point;
32. Any of the individual surfaces of a solid object.
35. An angle whose measure is exactly 90°
36. Two angles that share the same vertex and have one side in common between them.
37. A number of coplanar line segments, each connected end to end to form a closed shape.
39. A solid object where the base is a polygon (a straight-sided shape)
41. The line where two surfaces meet
42. A point on a line segment that divides it into two equal parts
43. Lying on a common plane.
45. is a special kind of point that describes the corners or intersections of geometric shapes.

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2. angle-An angle that is between 90° and 180°.
6. ordered pair
10. planar surface of a solid figure.
13. total sum of angles added together to equal 90 degrees
16. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
18. angles The pair of angles opposite each other formed by two intersecting lines.
19. Also called half-line. It is a straight line that extends from a point.
22. additional geometric figure that is constructed to assist in solving a problem or producing a proof.
25. flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane.
26. A perfect round ball. A sphere is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.
27. segment-Part of a line between two points called endpoints.
31. longest side opposite the right angle in a right triangle.
33. pair-A pair that is linear
34. straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
35. polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
38. unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
41. referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
43. surface included within a closed figure, measured by the number of square units needed to cover the surface.
44. straight line along which two faces of a solid meet. A rectangular solid has twelve edges.
45. The figure formed by two rays from the same initial point. The two rays are called the sides of the angle and the initial point is called the vertex of the angle.

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1. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
3. Two angles that add up to 180°.
4. point on a line segment that divides the given line segment into two congruent parts.
5. point is a location in space
6. on the same straight line.
7. angles-Two angles that share the same vertex and have one side in common between them.
8. length of the boundary around a shape or a figure.
9. lines that intersect at right angles.
11. angle-An angle with a measure between 0° and 90°.
12. one thing on either side of it. 2 is between 1 and 3.
13. boundary, or length of the boundary, that encloses a curved plane figure, usually a circle.
14. by side
15. or lines that all lie in the same plane.
17. Half of the diameter of a circle
20. rays-Rays that are opposing one another
21. initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.
22. plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are congruent.
23. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved.
24. path of a point moving in opposite directions infinitely. A line has neither width nor thickness but length.
28. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
29. tubular solid with a circular base. Usually, this term implies a right cylinder that can be formed by rotating a rectangle about one of its sides.
30. term Term that has not yet been defined
32. three-dimensional figure bounded by plane polygonal faces. The point at which three or more faces meet is called a vertex. A line along which two faces meet is called an edge.
36. line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
37. polygon-When at least one of the interior angles of a polygon is greater than 180°, it is a concave polygon.
39. polygon-The outside of a circle or an ellipse is the convex side; so is the outer surface of a sphere.
40. angle 90 degree angle
42. They are straight lines that are neither parallel, nor intersecting.

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1. The distance from the center of a circle to any point on its circumference.
3. A perfect round ball. A sphere is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.
5. A planar surface of a solid figure.
7. The side opposite the right angle in a right triangle.
9. Intuitively speaking, curved outward or toward the eye.
14. An angle with a measure between 0° and 90°.
16. An angle that measures 90° or /2 radians. It is the angle between two perpendicular lines such as the corner of a square or two perpendicular planes such as the wall and the ground.
17. Two lines that intersect at right angles.
19. Also called half-line. It is a straight line that extends from a point.
20. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
21. An initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.
22. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
25. One of the two pairs of equal angles formed when two straight lines intersect each other.
26. A three-dimensional figure bounded by plane polygonal faces. The point at which three or more faces meet is called a vertex. A line along which two faces meet is called an edge.
28. Two angles that add up to 180°.
29. Two rays sharing a common endpoint.
31. A number in a sequence or the numerator or denominator of a fraction.
32. A solid formed by rotating a right triangle around one of its legs.
33. When at least one of the interior angles of a polygon is greater than 180°.
38. Two angles that share the same vertex and have one side in common between them.
39. Lying on the same straight line.
40. An angle that is between 90° and 180°.
41. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
42. Two or more straight coplanar lines that do not intersect.
43. The geometric figure formed by two points.
45. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.

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2. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
4. A plane figure bounded by three or more straight-line sides.
6. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
8. A straight line along which two faces of a solid meet.
9. The boundary line of a circle or the length of such a boundary line.
10. A pair of adjacent angles formed by intersecting lines.
11. Two acute angles that add up to 90°.
12. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation.
13. The point on a line segment that divides the given line segment into two congruent parts.
15. A can-shaped solid figure.
18. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
20. Points or lines that all lie in the same plane.
23. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting. They lie in different planes.
24. a flat surface that extends indefinitely.
26. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
27. The pair of angles opposite each other formed by two intersecting lines.
30. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
34. Two things that are located or facing directly across.
35. Part of a line between two points called endpoints.
36. The length of the boundary around a shape or a figure.
37. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved, e.g., Pythagorean Theorem, Binomial Theorem, Fundamental Theorem of Algebra, etc.
41. A point B that lies on the line connecting two points A and C and has one of the two points on each side of it.
42. The geometric figure formed at the intersection of two distinct lines.
44. The surface included within a closed figure, measured by the number of square units needed to cover the surface.

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2. All of this artist’s songs are about breakups, hard to write a cute clue, but that’s just the way life goes
4. This song’s artist was very important to your cultural development, coincidentally this song is also somewhat like your mtg deck
6. I am falling, I am fading, I am drowning, but at least you help me to breathe
10. This McAlpine song is what I played over my favorite picture of Gullfoss
12. I maybe didn’t love this song the first time I heard it, but thank you for waiting for me to come around
13. Please don’t tell people how much I made you play this song, I will not be flying you to France
14. So often I wish you were here with me. Every moment, probably even …
15. There is a scene that’s always coming to me where we’re in the supermarket, but it isn’t exactly like how it’s described in this song
20. The Green Day song that I think you like the best?
22. I’m not sure if you like the song dedicated to the cult of this greek god, but I’m feeling devious and you’re looking glamorous
27. She gave us the songs on this album, but we’ll finish the story ourselves actually
28. This is the Babygirl song we liked, but probably because it sounded a lot like another Beabadoobee song
29. I will follow. Anywhere
30. There’s a beauty in the silence that I chalk up to Christmas time. Also a beauty in this song.
31. I don’t think this artist intended for their song to stir up memories of magical midnight hotdogs and waterfalls, but it did feel like a dream
35. It is a good thing that you view me as this to you, because I don’t think I’ll ever own any range rovers or expensive jaguars.
36. There ain't two ways about it, there ain't no tryin' 'bout it
39. Maybe one day you’ll be out til dawn with a mini skirt and roller blades on, if not, you’re still just as soft as this
40. You might have a few pictures of me sleeping like a lamb and vice versa, but don’t worry, I’ll break the cycle of this.
41. Podrick probably thinks a lyric from this song when attempting to help Brienne remove her armor
42. Even if you don’t agree, I have a bracelet that reminds me of the prettiest eyes I’ve…

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1. When we sing this song, we’ll shake the frame of your car. Remember Joyce, you got…
3. This is the only Foo Fighter song you said you liked on your own and it’s only for the acoustic version
5. We can agree to hate the artist, but this song is magical and takes me back precisely to that moment, you know the one I’m talking about
7. I actually quite like this band too, but I do not know them nearly as well as high-school you. Their song titles are all too long to make an answer here
8. It was always on the tip of my tongue, though I didn’t read it in an article on the internet, I heard it in this song
9. One of the only songs that you recognized from a certain opener, and it wasn’t Humongous
11. I’m sorry I got to see this artist without you, I’m sure we’ll play him a bunch on our trips and we’ll make it to a concert together one day
16. They need to play this song more often in race to the edge, I could probably listen to it for 4 hours and 39 minutes
17. We’ll probably end up visiting the title of this Phoebe Bridgers song this Summer
18. A song not exactly about Roman mythology, anyway I hope you’ll still let me make you this
19. Thank you for helping me find the name of this song and letting it become my most played of 2024, I always think of you when I hear it and I love singing it together
21. Hopefully it’ll just be the tents we sleep in and not our love that is covered in snow, I won’t ever let it go
23. Her friends in this song are The Devil Wears Prada level bad
24. This punk-inspired breakup hit got a little too much attention from Hayley Williams
25. Story I’m very sorry but this is probably still my favorite TS song. Hopefully I can still be the prince.
26. We’re not exactly headed to the Rockies this trip, but regardless, when I lay my head I hope it’s always…
32. You’ve got this golden way of making my body sway, maybe you’re one of these
33. Jesus, she is the queen of love triangles
34. You’re my best friend
37. No No No! I can’t believe it took you so long to listen to this song. This movie is so up your alley
38. The sweatpants this song spawned are nothing short of incredible, a pocket Owala would agree

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2. A line that a graph approaches but never touches or crosses.
4. The horizontal line that represents the average value of a periodic function, dividing the wave into equal halves.
6. A set of values that specify a point's location in a space, often expressed as (x, y).
7. A trigonometric function that represents the reciprocal of cosine.
9. A trigonometric function representing the ratio of the length of the opposite side to the length of the adjacent side in a right triangle, or the slope of the angle in the unit circle.
12. A unit of angle measurement based on the radius of a circle, where one radian corresponds to an arc length equal to the radius.
13. A point in the graph of a function where it is undefined due to a removable discontinuity.
15. The set of all possible input values (x-values) for a function.
18. A type of asymptote that occurs when the degree of the numerator is one more than the degree of the denominator in a rational function.
19. The branch of mathematics dealing with the relationships between angles and sides of triangles.
20. A polynomial with exactly two terms, such as a+b.
23. The measure of the steepness of a line, calculated as the rise over run between two points.
24. A polynomial of degree two, often represented in the form ax^2+bx+c.
25. The difference between the observed value and the value predicted by a regression model.
27. A structured arrangement of data in rows and columns for easy reference.
29. A function in which the variable is an exponent, often represented as y=a⋅b^x
30. behavior, The behavior of a function as the input values approach positive or negative infinity.
32. A trigonometric function representing the ratio of the opposite side to the hypotenuse in a right triangle.
34. A sequence of numbers with a constant ratio between consecutive terms.
35. A coordinate system that represents points using distance from a reference point and angle from a reference direction.
36. A function that reverses the effect of the original function, swapping inputs and outputs.
38. A statistical method used to determine the relationship between variables, often used for prediction.
42. A function that can be expressed as the ratio of two polynomials.
43. A trigonometric function that represents the reciprocal of tangent.
45. The set of all possible output values (y-values) of a function.
46. A range of values, often represented by two endpoints, indicating where a function is defined or certain conditions hold.
47. A trigonometric function representing the ratio of the opposite side to the adjacent side in a right triangle.
48. The process of breaking down an expression into simpler components, or factors, that multiply to give the original expression.

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1. A trigonometric function that represents the reciprocal of sine.
3. A transformation that moves a graph horizontally or vertically without changing its shape.
5. A transformation that alters the size of a graph, making it wider or narrower.
8. Circle, A circle with a radius of one, used to define trigonometric functions for all angles.
10. An expression consisting of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.
11. A change made to a function or graph that alters its position, size, or shape.
14. Referring to functions that have the shape of sine or cosine waves, characterized by periodic oscillations.
16. A value of the variable that makes a function equal to zero, also known as a root.
17. One of the four sections of the Cartesian plane, defined by the signs of the coordinates.
21. A sequence of numbers with a constant difference between consecutive terms.
22. A function that represents the inverse of exponentiation, often in the form y=logb (x).
26. The maximum distance a wave or periodic function reaches from its midline.
28. The point where a graph crosses the axes; x-intercepts occur on the x-axis, and y-intercepts on the y-axis.
31. Information collected for analysis, often represented in tables or graphs.
33. The length of one complete cycle of a periodic function, such as sine or cosine.
37. A visual representation of the relationship between variables, typically plotted on a coordinate plane.
38. A transformation that flips a graph over a specified line, such as the x-axis or y-axis.
39. Numbers that include a real part and an imaginary part, typically in the form a+bi.
40. A polynomial of degree one, represented in the form y=mx+b.
41. A trigonometric function representing the ratio of the adjacent side to the hypotenuse in a right triangle.
44. The value that a function approaches as the input approaches a certain point.
46. A mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, and ≥.

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2. angle An angle with a measure between 0° and 90°.
3. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
5. rays Rays that are opposing one another
7. Side by side
10. A three-dimensional figure bounded by plane polygonal faces. The point at which three or more faces meet is called a vertex. A line along which two faces meet is called an edge.
13. The total sum of angles added together to equal 90 degrees
15. The figure formed by two rays from the same initial point. The two rays are called the sides of the angle and the initial point is called the vertex of the angle.
16. pair A pair that is linear
17. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
20. A Shape
21. An ordered pair
24. Lying on the same straight line.
25. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
28. Two angles that add up to 180°.
30. angles The pair of angles opposite each other formed by two intersecting lines.
32. In plane geometry, when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are congruent.
33. angles Two angles that share the same vertex and have one side in common between them.
34. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
36. The point on a line segment that divides the given line segment into two congruent parts.
38. They are straight lines that are neither parallel, nor intersecting.
39. polygon When at least one of the interior angles of a polygon is greater than 180°, it is a concave polygon.
41. A point is a location in space
42. A planar surface of a solid figure.

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1. Half of the diameter of a circle
3. An initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.
4. A perfect round ball. A sphere is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.
6. polygon The outside of a circle or an ellipse is the convex side; so is the outer surface of a sphere.
8. A tubular solid with a circular base. Usually, this term implies a right cylinder that can be formed by rotating a rectangle about one of its sides.
9. Points or lines that all lie in the same plane.
10. Two lines that intersect at right angles.
11. angle 90 degree angle
12. segment Part of a line between two points called endpoints.
13. The boundary, or length of the boundary, that encloses a curved plane figure, usually a circle.
14. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
18. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
19. Also called half-line. It is a straight line that extends from a point.
20. The length of the boundary around a shape or a figure.
22. A straight line along which two faces of a solid meet. A rectangular solid has twelve edges.
23. angle An angle that is between 90° and 180°.
26. The longest side opposite the right angle in a right triangle.
27. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
29. term Term that has not yet been defined
31. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
34. Having one thing on either side of it. 2 is between 1 and 3.
35. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved.
37. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane.
40. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
41. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.

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2. Proving a conjecture by assuming that the conjecture is false. If this assumption leads to a contradiction, the original conjecture must have been true. This technique employs the logical method known as modus tolens.
6. being or operating in the same plane
7. An angle that has measure more than 90° and less than 180°.
8. Lines in three dimensional space that do not intersect and are not parallel.
10. something that is constructed a structure
13. An angle whose measure is between 0° and 90° Compare obtuse angle
14. in the space separating two points objects
17. 4 maths logic mutually exclusive and exhaustive, each being the complement of the other
18. a continuous extent of length straight or curved without breadth or thickness the trace of a moving point
19. the space within two lines or three or more planes diverging from a common point or within two planes diverging from a common line
21. a polygon such that there is a straight line that cuts it in four or more points
25. An assertion that can be proved true using the rules of logic. A theorem is proven from axioms, postulates, or other theorems already known to be true.
27. a straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end
29. Two angles that add up to 180°.
33. the side of a polygon
34. A line segment between the center and a point on the circle or sphere
35. A polyhedron with a polygonal base and lateral faces that taper to an apex. A pyramid with a triangular base is called a tetrahedron.
36. A flat surface extending in all directions. Any three noncollinear points lie on one and only one plane. So do any two distinct intersecting lines.
37. A pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are a linear pair. So are angles 2 and 4, angles 3 and 4, and angles 1 and 3. Linear pairs of angles are supplementary
39. At a 90° angle.
42. a surface or solid bounded by two parallel planes and generated by a straight line moving parallel to the given planes and tracing a curve bounded by the planes and lying in a plane perpendicular or oblique to the given planes
44. The geometric figure formed at the intersection of two distinct lines.
45. The point halfway between two given points.
46. a stage in a scale of relative amount or intensity a high degree of competence

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1. All points between two given points (including the given points themselves).
2. The formula below gives the volume of a solid. A(x) is the formula for the area of cross-sections over the entire length of the solid.
3. coinciding at all points when superimposed congruent triangles.
4. A statement accepted as true without proof
5. A closed plane figure for which all sides are line segments.
6. using or pertaining to systems of coordinates
9. a polygon such that no side extended cuts any other side or vertex it can be cut by a straight line in at most two points
10. the outer boundary especially of a circular area perimeter
11. A three dimensional solid consisting of all points equidistant from a given point.
12. opposite one another at the intersection of two lines
13. two angles having the same vertex and having a common side between them
15. any particular extent of space or surface part the dark areas in the painting; the dusty area of the room
16. The distance around the outside of a plane figure. For a polygon, the perimeter is the sum of the lengths of the sides.
20. a solid whose surface is generated by a line passing through a fixed point and a fixed plane curve not containing the point consisting of two equal sections joined at a vertex
22. Alternate exterior angles are congruent. Formally, alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.
23. lying in the same straight line
24. line that extends from a vertex of a triangle to the opposite side (which may be extended). Medians, altitudes, and angle bisectors are all examples of cevians.
26. unknown angle
28. the side of a right triangle opposite the right angle
30. A solid with parallel congruent bases which are both polygons
31. a line or border at which a surface terminates
32. A part of a line starting at a particular point and extending infinitely in one direction.
38. a line or plane that bisects an angle or line segment
40. One of the flat surfaces making up
41. A 90° angle.
43. A corner point of a geometric figure.

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3. the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.
4. a particular ordering of a set of objects, e.g. given the set {1, 2, 3}, there are six permutations: {1, 2, 3}, {1, 3, 2}, {2, 1, 3}, {2, 3, 1}, {3, 1, 2}, and {3, 2, 1}
7. an ordered set whose elements are usually determined based on some function of the counting numbers, e.g. a geometric sequence is a set where each element is a multiple of the previous element; an arithmetic sequence is a set where each element is the previous element plus or minus a number
8. Mrs. Maclean’s favorite class drink
12. junior year coffee assistant
15. The mean is the same as the average. Add up a series of numbers and divide the sum by the total number of values.
16. Mrs. Maclean's favorite method of punishment
17. a flat two-dimensional surface (physical or theoretical) with infinite width and length, zero thickness and zero curvature
19. an algebraic equation with 3 terms
20. subject that Mrs.Maclean loves
22. the ratio of a circumference of a circle to its diameter, an irrational (and transcendental) number approximately equal to 3.141593…
23. a physical quantity having magnitude and direction, represented by a directed arrow indicating its orientation in space
25. The longest side of a right-angled triangle, always opposite to the right angle itself
26. A value that does not change
28. whole numbers, both positive (natural numbers) and negative, including zero
32. best math teacher
33. the operation in calculus (inverse to the operation of differentiation) of finding the integral of a function or equation
37. math tool that people forget to bring in class

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1. a smooth symmetrical curve with two branches produced by the section of a conical surface
2. circle on the math class wall that everyone everyone uses in geometry
5. the trigonometric function that for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse
6. the operation in calculus (inverse to the operation of integration) of finding the derivative of a function or equation
7. a collection of distinct objects or numbers, without regard to their order, considered as an object in its own right
9. a one-to-one comparison or correspondence of the members of two sets, so that there are no unmapped elements in either set, which are therefore of the same size and cardinality
10. (Freshman and Sophmore Year) Coffee Assistant
11. a proposition that is not actually proved or demonstrated, but is considered to be self-evident and universally accepted as a starting point for deducing and inferring other truths and theorems, without any need of proof
13. the inverse operation to exponentiation, the exponent of a power to which a base (usually 10 or e for natural logarithms) must be raised to produce a given number, e.g. because 1,000 = 103, the log10 100 = 3
14. a number which, when multiplied by x yields the multiplicative identity 1, and can therefore be thought of as the inverse of multiplication, e.g. the reciprocal of x is 1⁄x, the reciprocal of 3⁄5 is 5⁄3
18. Ms. Maclean’s favorite color
21. a quantity or set of numbers without bound, limit or end, whether countably infinite like the set of integers, or uncountably infinite like the set of real numbers (represented by the symbol ∞)
24. a mathematical statement or hypothesis which has been proved on the basis of previously established theorems and previously accepted axioms, effectively the proof of the truth of a statement or expression
27. a step by step procedure by which an operation can be carried out
29. the mirror image of a shape or object, obtained from flipping the shape on an axis
30. the point towards which a series or function converges, e.g. as x becomes closer and closer to zero, (sin x)⁄x becomes closer and closer to the limit of 1
31. the branch of mathematics that studies the relationships between the sides and the angles of right triangles, and deals with and with the trigonometric functions (sine, cosine, tangent and their reciprocals)
34. A distance found by measuring a line segment extending from the center of a circle to any point on the circle; the line extending from the center of a sphere to any point on the outside edge of the sphere
35. a polynomial algebraic expression or equation with just two terms, e.g. 2x3 – 3y = 7; x2 + 4x; etc
36. a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

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3. are 360 degrees in one Full Rotation (one
8. point where two or morestraight lines meet A corner
10. acute angles that add up to 90°. For example, 40° and 50° are complementary. In the diagram below, angles 1 and 2 are complementary.
11. three dimensional figure with a single base tapering to an apex. The base can be any simple closed curve. Often the word cone refers to a right circular cone.
13. distance from the center to the edge of a circle
17. in both directions without end (infinitely).
18. sides are triangles which meet at the top (the apex)
20. is a very special idea We know we can't reach it but we can still try towork out the value of functions that have infinity in them
23. no thickness, and
24. one of the most basic curvilinear geometric shapes, the surfaceformed by the points at a fixed distance from a given line segment, the axis of the cylinder.
25. is half of the circle's diameter
26. geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement
27. are parallel if they are always the same distance apart (called "equidistant") and will never meet (They also point in the same direction)
29. base is a polygon (a straight-sided shape)
32. segmentPart of a line connecting two points
33. equal in size and shape. Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.
35. solid object that has two identical ends and all flat sides.
36. Angles are Supplementary if they add up to 180 degrees
39. goes to infinity)
40. a proposition that requires no proof beingselfevident or that is for a specific purpose assumed true andthat is used in the proof of other propositions axiom
41. angleA right angle is an internal angle which is equal to 90°
42. in this case means they share the same Vertex (corner point) not the usualmeaning of up-down
44. polygon-A polygon that has all interior angles less than 180°
46. rays sharing a common endpoint. Angles are typically measured in degrees or radians.
47. angleVertical" in this case means they share the same Vertex (or corner point), not the usual meaning of up-down
50. just means at right angles (90°) to
52. world has three dimensions, but there are only two dimensions on a plane.
53. point on the surface is the same distance from the center
54. circle around).
55. line segment, line, or plane that divides a geometric figure into two congruent halves.
56. of the individual surfaces of a solid object

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1. is the distance around a two-dimensional shape
2. All the vertices point 'outwards', away from the center.)
4. pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are linar linearpair So are angles 2 and 4, angles 3 and 4, and angles 1 and 3 Linear pairs of angles are supplementary
5. can be "skewed" meaning it tends to have a long tail on one side or the other
6. B is between points A and C if it is on the line segment connecting A and C.
7. polygonA polygon that has one or more interior angles greater than 180°
9. point is an exact location It has no size only position
12. in Geometry means to draw shapes, angles or lines accurately.
14. angle that has measure more than 90° and less than 180°
15. plane shape (two-dimensional) with straight sides
16. angleAn angle that has measure less than 90°.
19. line with a start point but no end point
21. on the same line.
22. a right angled triangle:
23. side opposite the right angle in a right-angled triangle
28. moving points "A" and "B"
30. straight line going through the center of acircle connecting two points on the circumference.
31. the rays below by dragging any orange dot. The two rays (blue and red) will only be opposite when they point in exactly opposite directions
34. edge is a line segment that joins two vertices.
37. middle of The point halfway along
38. anglesAn angle that has measure less than 90°.
43. complete circular arc. Circumference also means the distance around the the outside of a circle.
45. the coordinate plane, the pair of numbers giving the location of a point (ordered pair). In three-dimensional coordinates, the triple of numbers giving the location of a point (ordered triple). In n-dimensional space, a sequence of n numbers written in parentheses.
48. the same plane.
49. 3-dimensional object shaped like a ball
50. solid with flat faces
51. surface included within a closed figure, measured by the number of square units needed to cover the surface.

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3. the study of size shape and relative position of figures or the study of lines angles shapes and their properties
5. the area bounded by a graph or curve of a function and the x axis between two given values of x
12. a self-similar geometric shape produced by an equation that undergoes repeated iterative steps or recursion
13. the operation in calculus of finding the derivative of a function or equation
14. the product of all the consecutive integers up to a given number
16. a steepness or incline if a line determined by reference to two points in the line
18. a flat two-dimensional surface with infinite width and length and zero thickness and curvature
19. the study of quantity as a result of combining numbers
20. a line that the curve of a fun ruin tends toward as the independent variable of the curve approches some limit
21. a mathematical statement or hypothesis which has been proved on the basis of previously established theorems and is effectively the proof of the truth of a statement or expression
22. a number which when multiplied by x yields the multiplicative identity of one and can therefore be thought of as the inverse of multiplication
27. the mathematical operation where a number is multiplied by itself a specified number of times
28. an algebraic equation with three terms
31. a quantity or set of numbers without bound limit or end
32. a number that will divide into another number exactly
33. an algebraic expression constituting of a single term
34. the ratio of a circumference of a circle to its diameter which is an irrational number
36. the branch of mathematics that studies the relationships between the sides and the angles of right triangles
37. study motion and changing values through use of derivatives and integrals
39. the study of the formal laws of reasoning
41. mathematics using symbols or letters to represent variables values or numbers
42. the correspondance in size form or arrangement of parts in a plane or line
43. an ordered set whose elements are usually determined based on some function of the counting numbers
44. operation in calculus of finding the integral of a function or equation
45. a way of writing rational numbers and representation ratios or division in the form of a numerator over a denominator

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1. a subsidiary collection of objects that all belong to or is contained in an original given set
2. a measure of relationship between two variables or sets of data
4. grounded in the rigorous formulation of calculus and grounded in the notion of a limit
6. the factors or terms in a mathematical expression or equation
7. a statement that appears to contradict itself suggesting a solution which is actually impossible
8. either a single number or variable or a product of several numbers or variables separated from another term by a plus or minus sign in an algebraic expression or equation
9. a smooth symmetrical curve with two branches produced by the section of a conical surface
10. a type of comic section curve any point of which is equally distinct from a fixed focus point and a fixed straight line
11. a measure of how a function curve or curve changes as its input changes
14. a relation or correspondance between two sets in which one element of the second set is assigned to each element of the first set
15. the point toward which h a series or function converged
17. a plane curve resulting from the intersection of a cone by a plane that looks like a slightly flattened circle
18. an algebraic expression or equation with more than one term constructed from variables and constants using only the operations of addition subtraction multiplication and non negative whole number exponents
19. a step by step procedure by which an operation can be carried out
23. a one dimensional figure in geometry that follows a continuous straight path joining two or more points
24. the ordered pair that gives the location or position of a point on a coordinate plane determined by the point’s distance from the x and y axes
25. two geometric figures that have the same size and shape so one can be transformed into the other by a combination of translation rotation and reflection
26. a collection of distinct objects or numbers without regard to their order considered as an object in its own right
29. quantities or objects so small that there is no way to see or measure them so for all practical purposes they approach zero as a limit
30. a polynomial algebraic expression or equation with just two terms
35. whole numbers both positive and negative including zero
38. the inverse operation to exponentiation hence the exponent of a power to which a base is given must be raised to produce a given number
40. a rule or equation describing the relationship of two or more variables or quantities

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2. la fête de la Pâques qui commémore; au printemps, la libération des Israélites de l’esclavage en Égypte, le passage de l’esclavage en Égypte le passage de l’esclavage à la liberté.
5. un chandelier à sept branches, utilisé à la maison et à la synagogue lors du sabbat et des jours saints.
6. mot grec significant «dissémination des graines» ou «dispersion». Dans le contexte de l’histoire juive, on utilise «diaspora» en faisant référence à la population juive qui vit hors d’Israël.
10. l’hostilité et les préjugés envers les juifs
16. une cérémonie religieuse d’initiation d’un garçon juif de 13 ans ou d’une jeune fille juive de 12 ans. L’expression signifie «fils/fille du commandement».
18. un coffre de bois qui contenait les tables tables portant l’inscription des dix commandements. Le temple de Jérusalem est devenu la demeure de l’arche.
19. la personne qui reçoit un message de Dieu et le transmet au peuple de Dieu. Le message appartient à Dieu et le prophète agit comme messager de Dieu.
20. un commandement de Dieu; le fait de réaliser une bonne action. Les dix commandements représentent les mitzvoth les plus connus.
22. signifie «celui qui a été consacré». Les juifs espèrent qu’un grand roi viendra les diriger.
23. l’événement important au cours duquel Moïse a libéré les Israélites de l’esclavage en Égypte et les a conduit jusqu’à la terre promise. Le mot exodus signifie «sortie» ou «départ».
24. un châle de prière.
27. un dessin fait de deux triangles équilatéraux entrelacés. On l’utilise comme symbole juif et israélien.
28. le fait de ne croire qu’en un seul Dieu.
30. petite calotte circulaire qui portent les hommes juifs et qu’on appelle aussi une kippa.
31. une petite calotte que portent les juifs, et qu’on appelle aussi yarmulke.
32. un lieu de rassemblement du culte qui est apparu pendant l’exil et qui est devenu important au cours de la période suivant la destruction des temples, en 586 av. J-C et en 70 ap. J-C. Les synagogues représentent encore pour les juifs un lieu de culte privilégié.
33. l’une ou l’autre des deux petites boîtes contenant les rouleaux de parchemin du text biblique, que portent des hommes juifs pendant la prière du matin, sauf le jour du sabbat.
36. la région de Canaan qui, selon les Hébreux, leur a été promise par Dieu.
37. la fête célébrant le nouvel an juif.
38. selon l’usage de la Bible, entente solennelle et exécuter entre Dieu et l’humanité.

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1. les enseignements rabbiniques tirés de la Mishnah. C’est la principale course d’enseignement juif de la période médiévale à aujourd’hui.
3. la période de sept jour de deuil qui commence immédiatement après les funérailles.
4. la fête de la lumière, d’une durée de huit jours, qui, tenue d’habitude en décembre, commémore la nouvelle consécration du temple.
7. une structure semblable à une armoire qui, dans une synagogue, contient les manuscrits de la Torah.
8. un secteur d’une ville dans lequel des groupes minoritaires, comme les juifs, sont contraints de vivre. Le premier se trouvait à Venise, en 1516.
9. le meurtre, l’extermination, la réduction en esclavage, la déportation, la persécution ou tout autre acte inhumain commis envers une population civile ou un groupe identifiable.
11. la partie restante du mur du temple d’Hérode à Jérusalem où, selon la traction, les juifs prient et pleurent les vendredis.
12. la trompette taillée dans unes corne de bélier et utilisée pendant les cérémonies religieuses.
13. le mouvement qui était à l’origine, en faveur de la réinstallation de la nation juive sur la terre promise et qui oeuvre maintenant en faveur de l’expansion de la nation juive dans ce qui constitue de nos jours Israël.
14. le service rituel et dîner cérémoniel au cours de la première ou des premières nuits de la Pâques.
15. le terme hébreu qui signifie «destruction» et qui désigne l’Holocauste.
17. l’extermination de mass d’un groupe de personnes, plus particulièrement d’une race, d’un groupe religieux ou d’une nation.
21. le massacre de six millions de juifs par les nazis pendant la Second Guerre mondiale.
25. l’ablation du prépuce du pénis. Abraham à être circoncis pour symboliser l’Alliance.
26. journée religieuse la plus solennelle de l’année juive, marquée par le jeûne et des prières de pénitence.
29. mot signifiant «autorisé». Le fait de respecter les exigences des lois juives de la Kacheroute.
34. l’idée selon laquelle Dieu a choisi le peuple juif comme gardien de son Alliance sur terre. Le concept d’«élu» est réciproque, car Dieu choisit l’humanité et l’humanité choisit Dieu.
35. un érudit ou un enseignant juif, en particulier de la loi; personne choisie comme chef de file religieux.
36. fait référence à la loi de Moïse, de même qu’au reste des écritures hébraïques et à l’ensemble du système de croyances de la confession juive. Le mot Torah se traduit mieux par «enseignement» ou «instruction».

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4. un chandelier à sept branches, utilisé à la maison et à la synagogue lors du sabbat et des jours saints.
6. signifie «celui qui a été consacré». Les juifs espèrent qu’un grand roi viendra les diriger.
7. un secteur d’une ville dans lequel des groupes minoritaires, comme les juifs, sont contraints de vivre. Le premier se trouvait à Venise, en 1516.
12. l’idée selon laquelle Dieu a choisi le peuple juif comme gardien de son Alliance sur terre. Le concept d’«élu» est réciproque, car Dieu choisit l’humanité et l’humanité choisit Dieu.
13. un érudit ou un enseignant juif, en particulier de la loi; personne choisie comme chef de file religieux.
15. mot signifiant «autorisé». Le fait de respecter les exigences des lois juives de la Kacheroute.
16. une structure semblable à une armoire qui, dans une synagogue, contient les manuscrits de la Torah.
21. un lieu de rassemblement du culte qui est apparu pendant l’exil et qui est devenu important au cours de la période suivant la destruction des temples, en 586 av. J-C et en 70 ap. J-C. Les synagogues représentent encore pour les juifs un lieu de culte privilégié.
22. l’hostilité et les préjugés envers les juifs
24. la région de Canaan qui, selon les Hébreux, leur a été promise par Dieu.
25. la fête de la lumière, d’une durée de huit jours, qui, tenue d’habitude en décembre, commémore la nouvelle consécration du temple.
27. un châle de prière.
28. l’une ou l’autre des deux petites boîtes contenant les rouleaux de parchemin du text biblique, que portent des hommes juifs pendant la prière du matin, sauf le jour du sabbat.
29. le meurtre, l’extermination, la réduction en esclavage, la déportation, la persécution ou tout autre acte inhumain commis envers une population civile ou un groupe identifiable.
33. la partie restante du mur du temple d’Hérode à Jérusalem où, selon la traction, les juifs prient et pleurent les vendredis.
34. l’ablation du prépuce du pénis. Abraham à être circoncis pour symboliser l’Alliance.
35. selon l’usage de la Bible, entente solennelle et exécuter entre Dieu et l’humanité.
36. le mouvement qui était à l’origine, en faveur de la réinstallation de la nation juive sur la terre promise et qui oeuvre maintenant en faveur de l’expansion de la nation juive dans ce qui constitue de nos jours Israël.
38. la période de sept jour de deuil qui commence immédiatement après les funérailles.

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1. journée religieuse la plus solennelle de l’année juive, marquée par le jeûne et des prières de pénitence.
2. le fait de ne croire qu’en un seul Dieu.
3. fait référence à la loi de Moïse, de même qu’au reste des écritures hébraïques et à l’ensemble du système de croyances de la confession juive. Le mot Torah se traduit mieux par «enseignement» ou «instruction».
5. mot grec significant «dissémination des graines» ou «dispersion». Dans le contexte de l’histoire juive, on utilise «diaspora» en faisant référence à la population juive qui vit hors d’Israël.
8. le massacre de six millions de juifs par les nazis pendant la Second Guerre mondiale.
9. la fête de la Pâques qui commémore; au printemps, la libération des Israélites de l’esclavage en Égypte, le passage de l’esclavage en Égypte le passage de l’esclavage à la liberté.
10. une petite calotte que portent les juifs, et qu’on appelle aussi yarmulke.
11. la fête célébrant le nouvel an juif.
14. une cérémonie religieuse d’initiation d’un garçon juif de 13 ans ou d’une jeune fille juive de 12 ans. L’expression signifie «fils/fille du commandement».
17. le service rituel et dîner cérémoniel au cours de la première ou des premières nuits de la Pâques.
18. la personne qui reçoit un message de Dieu et le transmet au peuple de Dieu. Le message appartient à Dieu et le prophète agit comme messager de Dieu.
19. les enseignements rabbiniques tirés de la Mishnah. C’est la principale course d’enseignement juif de la période médiévale à aujourd’hui.
20. l’extermination de mass d’un groupe de personnes, plus particulièrement d’une race, d’un groupe religieux ou d’une nation.
21. la trompette taillée dans unes corne de bélier et utilisée pendant les cérémonies religieuses.
23. un coffre de bois qui contenait les tables tables portant l’inscription des dix commandements. Le temple de Jérusalem est devenu la demeure de l’arche.
26. un dessin fait de deux triangles équilatéraux entrelacés. On l’utilise comme symbole juif et israélien.
30. l’événement important au cours duquel Moïse a libéré les Israélites de l’esclavage en Égypte et les a conduit jusqu’à la terre promise. Le mot exodus signifie «sortie» ou «départ».
31. petite calotte circulaire qui portent les hommes juifs et qu’on appelle aussi une kippa.
32. un commandement de Dieu; le fait de réaliser une bonne action. Les dix commandements représentent les mitzvoth les plus connus.
37. le terme hébreu qui signifie «destruction» et qui désigne l’Holocauste.

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2. The artwork of making photographs for fine fine art of commercial purpose
5. Works of art that may be expressive, but generally have utilitarian purposes
7. An oriental method of beautiful handwriting
8. A form of art that stresses the form of its subject rather than its actual appearance
10. A chalky, colored crayon consisting of pigment and adhesive gum
13. Balance, Emphasis, Proportion, Pattern, Rhythm
17. Another word for Color
20. A flat 2-D area with height and width
25. Made up of series of diagonal lines moving in different directions
26. An artist may use color and value contrast to give a painting or drawing that appearance of texture
29. A condition in which elements in an artwork appear to fit well together
30. An area if education that provides programs in art production, history, aesthetics, and are criticism
31. Colors that contrast with one another. They are opposite on the color wheel
32. Creating and producing apparel for every occasion
34. An artist element with three properties: Hue, value, and intensity
35. Lines that are produced produced to express an idea, mood, or quality
36. refereed to as free-form is irregular and uneven often found in nature
41. A technique in which a design is incised in a plate of metal, wood, or plastic
42. Sphere, cubes, and pyramid
44. A hue mixed with black to make a darker color value
45. Often called "free-form" they have irregular uneven edges and are often found in nature
46. The special character of a line
47. Artworks created in our own times
48. The materials used to create an artwork
51. Eronic art made up of pixels
52. Are made by mixing two primary colors this makes orange, violet, and green
53. An artist uses guidelines to position shapes to appear near or faraway
54. A paint made from a mixture of colored pigment and linseed oil
56. A synthetic painting medium in which pigments are mixed with acrylic, a plastic emulsion that acts as a vehicle
57. The diminishing of color intensity to lighter and duller hues to give illusion of distance
61. A career that involved planning space inside a house or building
64. that are hallow or curved inward
66. A furnace of controlled high temperatures used to fire ceramic ware and sculture
67. Can describe empty or full areas that are nearby areas that are huge or small

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1. A mural technique formed by placing colored pieces of marble or glass, stones, or tiles in a adhesive material
3. The flat surface or plane that the artist organizes the picture in
4. Also called simulated texture is the way a surface appears through the sense of vison
6. Combinations of colors that are considered satisfying or that produce certain effects
9. A technique of painting in which water-based paint paint if mixed or tempered with egg-yolk
11. Lines that are real and can be seen
12. Artworks created in our own times
14. Mixed from a primary color and a secondary color that are next to each other on the color wheel
15. An artist uses guidelines to position shapes to appear near or faraway
16. A form of water-soluble paint used to create opacity
18. A way to show three-dimensional objects on a two-dimensional surface
19. Colors that cannot be mixed from other colors
21. An artist who plans the appearance and form of useful objects, such as computers, telephones, cars, toys, and kitchen appliances
22. The things that are represented in an artwork
23. Runs up and down
24. A twentieth century style in which artist sought to create an impression of movement by means of optical illusion
27. Implied lines suggested by the direction which figures in a picture are looking
28. Ceramic ware that is made from natural clay
33. Is the path of a point moving through space
36. A way to show three-dimensional objects on a two-dimensional surface
37. A technique of creating three-dimensional or relief sculpture
38. An illusion of movement, or implied movement, caused by the response of the eye to lines, shapes, and colors arranged in artwork
39. Having height, width, depth
40. Red, yellow, orange
43. Precise mathematical shapes, circles, squares, and triangles
47. A gradual change from light to dark values that create a 3-D effect
49. The sensory elements including line,shape, form, color, value, space, and texture that are used to create artworks
50. A hue mixed with white to make a lighter value
55. A likeness of a person, distorted by exaggeration features of mannerisms
58. A person who makes artworks and is skilled in composing subjects matter and the art elements with a variety of art materials and procedures
59. A horizontally drawn line that is even with the viewers eye
60. Surfaces that curve outwards
62. A personal belief or impression that may be true for an individual but not for other people
63. The artist uses crisp and clear lines and shapes to show close up details
65. A twentieth century art movement developed mainly by Picasso and Barque in which the subject matter is broken up, analyzed, and resembled in an abstract form

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2. A part of a line starting at a particular point and extending infinitely in one direction.
7. two rays with a common endpoint that point in opposite directions and form a straight line.
10. polygon Intuitively speaking, curved outward or toward the eye.
13. The boundary line of a circle or the length of such a boundary line.
15. Another name for analytical geometry.
17. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
19. The pair of angles opposite each other formed by two intersecting lines.
20. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
22. Two lines that intersect at right angles.
24. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
26. A can-shaped solid figure.
28. The point on a line segment that divides the given line segment into two congruent parts.
29. An angle that is between 90° and 180°.
32. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
34. Part of a line between two points called endpoints.
35. A geometric object that has no dimension and is used to indicate a location.
37. The length of the boundary around a shape or a figure.
39. An angle that is between 90° and 180°.
40. A line segment where two faces of a polyhedron meet.
41. Lying on the same straight line.
42. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
43. The path of a point moving in opposite directions infinitely. A line has neither width nor thickness but length. It is the shortest distance between two points.
44. Planar figures or solid shapes that have the same shape and size.

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1. A point B that lies on the line connecting two points A and C and has one of the two points on each side of it. The point B is said to be between points A and C if, and only if, AB + BC = AC, in which AB is the distance from A to B, BC is the distance from B to C, and AC is the distance from A to C.
3. Two rays sharing a common endpoint.acute angle An angle with a measure between 0° and 90°.
4. A pair of angles that add up to 90°. As shown,
5. A planar surface of a solid figure.
6. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane.
8. A closed plane figure bounded by at least three line segments.
9. The distance from the center of a circle to any point on its circumference.
11. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
12. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
14. Intuitively speaking, curved away from the eye. A concave figure is a set of points some of whose chords include points that are in the set.
15. Points or lines that all lie in the same plane.
16. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
18. Lines in three dimensional space that do not intersect and are not parallel.
21. A perfect round ball.
23. can not be identified
25. The side opposite the right angle in a right triangle.
27. A solid bounded by at least four polygonal faces. The pairs of faces meet along their edges. Three or more edges meet in each vertex.
30. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
31. The units, the radian (for measuring a plane angle) and the steradian (for measuring a solid angle), used along with base units to define derived units.
32. angles Two angles that share the same vertex and have one side in common between them.
33. An angle that measures 90°
35. Two or more straight coplanar lines that do not intersect.
36. A pair of adjacent angles formed by intersecting lines.
37. A statement accepted as true without proof.
38. A space figure with two parallel polygonal bases that are the same shape and the same size.
41. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.

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2. A flat surface that can extend forever in length and width but has no thickness. The
8. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
9. The side opposite the right angle in a right triangle.
12. Part of a line between two points called endpoints.
18. A statement accepted as true without proof. A postulate should be so simple and direct that is seems to be unquestionably true.
19. The pair of angles opposite each other formed by two intersecting lines.
21. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
23. The figure formed by two rays from the same initial point.
25. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved, e.g., Pythagorean Theorem, Binomial Theorem, Fundamental Theorem of Algebra, etc.
26. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
29. Often referred to as the right cone. A cone is a solid formed by rotating a right triangle around one of its legs.
30. Two angles that share the same vertex and have one side in common between
31. line.
33. A geometric object that has no dimension and is used to indicate a location.
34. The boundary line of a circle or the length of such a boundary line.
37. The path of a point moving in opposite directions infinitely.
38. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
41. Angle opposite side is greater than 60°.
43. Lines that are neither parallel nor intersecting
44. A perfect round ball. A sphere is a closed solid bounded by a surface on which all points are equidistant from a central point called the center.
45. A line segment where two faces of a polyhedron meet.
46. A polyhedron whose one fac is a polygon and the other faces are triangles with one common vertex.
47. The distance from the center of a circle to any point on its circumference.
48. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
49. of a calm sea and a flat valley are all physical models of a plane.

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1. An angle that is between 90° and 180°.
2. A closed plane figure bounded by at least three line segments.
3. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
4. Lying on the same straight line.
5. The set of all the elements within a particular universal set that are not elements of the given set.
6. An angle that measures 90°.
7. Two rays with common endpoint that point in opposite directions and form a
10. The length of the boundary around a shape or a figure.
11. Two angles that add up to 180°
13. Intuitively speaking, curved away from the eye. A concave figure is a set of points some of whose chords include points that are in the set.
14. The point on a line segment that divides the given line segment into two congruent parts.
15. At a 90° angle Note: Perpendicular lines have slopes that are negative reciprocals
16. Can be combined to define other terms. Noncollinear points , for example, are points that do not lie on the same line.
17. Also called half-line. It is a straight line that extends from a point.
20. Points or lines that all lie in the same plane.
22. To draw a figure, usually under certain specific restrictions such as using only a straightedge and compasses.
24. Intuitively speaking, curved outward or toward the eye. A convex curve is a set of points any of whose chords do not include any point that is not in the set.
27. An angle with a measure between 0° and 90°.
28. Two lines that never intersect… This means that the two lines are always the same distance apart
29. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
32. Having one thing on either side of it. 2 is between 1 and 3.
35. Planar figures or solid shapes that have the same shape and size.
36. A can-shaped solid figure.
39. A solid bounded by at least four polygonal faces.
40. A space figure with two parallel polygonal bases that are the same shape and the same size.
42. A pair of adjacent angles formed by intersecting lines.
50. A planar surface of a solid figure.

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1. _______ is the distance between parallel lines.
3. This line when made is called a ______ ‘around’ on the tubing that are made to go completely around the tubing is called? Or a type of sandwich that has a tortilla type bread that is folded around ingredients.
5. A transversal line can become a ________ leg when bending an offset.
8. The opposite of equal.
9. A general term to describe something that is less than 45 degrees.
11. This is where two lines come together and form an angle.
12. This is one of the measurements of pipe or tubing diameter. Something your parents asked you to play when you were making too much noise?
14. The distance from the center of a bend where the tube is straight is called ________.
16. _________ is the distance the tube advances from the setback location to where the tube becomes straight again.
20. Is a math term that represents when numbers are times one another.
21. The number of named parts of a tubing bended
22. This type of angle is any whose sum is 90 degrees.
24. This mathematical term is when you take numbers and combine the total of them.
25. Is a math term when calculating how many of an amount is in a total amount.
26. This offset starts at a bottom corner of an isometric box and has a travel piece that ends its offset at the opposite top corner of the isometric box.
30. The distance on a parallel line from where the travel leg starts to the offset location is called the run or __________.
31. You use this degree measurement number to line up bend mark on the faceplate and the roll support on short hand.
36. A tubing bender makes round bends that is based on one half of the circles_________.
37. In tube bending the mathematical difference between the lengths of two setbacks and the advance.
38. This angle is more than zero, but less than 90 degrees.
40. This type of drawings will help someone better visualize the bending needed.
41. A straight angle is also a straight line. It contains 180 degrees from point to point. It can be called the ____________.
43. The exact middle of a circle could be called this.
44. This direction is on the ‘isometric’ compass, though it is not North, South, East, or West.
47. Is what you do to tubing when measuring and marking out a tube to be bent. Or when you are calculating and designing how a piping arrangement will be completed from start to finish.
48. There are three sides to a triangle, if two sides have a known dimension the third side would be considered to be _________ dimension. Or some people say this about heaven or the start of a journey this ‘the great ________”

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2. This could be called the mathematical recipe to find a mathematical unknown.
4. This direction is on the ‘isometric’ compass, though it is not North, South, East, or West.
6. A general term to describe something that is greater than 45 degrees.
7. This mathematical term is when you take numbers and remove some of them from the other number and you have a new total.
10. This is the term used to describe the measurement from one end of a piece of tubing to the other end of the tubing.
13. A circle has 360 of this measurement.
14. This allowance (sometimes also called ‘Gain”) is the adjustment to the length. Or you do this when placing peanut butter on bread evenly.
15. This side of the triangle is against the 90-degree angle and the hypotenuse.
17. When laying out the _________ point it is the location where the measurement begins. It is also called the "Dumb End"
18. The Pythagoras the Greek philosopher theorem on sum of a right triangles is called __________ theory.
19. Is the name for the longest side of a triangle.
23. This shape has three sides.
27. Setback, Advance, and Gain is the method used in tube bending
28. What the tool name, that is used for the S.A.G. method.
29. This type of root is not grown but is used in math.
32. This angle has more than 90 degrees.
33. Is an angle whose vertex is located in the center of a circle.
34. This side of the triangle has the degree locator and corners of the hypotenuse and is called the run.
35. What tool can be used to help make sure your second bend is level or plumb?
39. A term that describes when you use a mathematical formula to achieve and answer.
42. If you have a angle of 20 degree, what is the rest of the degrees needed to be complementary angle?
45. What is used to help with bending to keep the tubing ‘square’ with a bending table and the bender? Or a name given to items used in movies that fill in details of a set.
46. Every _______ has two setbacks.

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2. A transformation that flips a graph over a specified line, such as the x-axis or y-axis.
4. A statistical method used to determine the relationship between variables, often used for prediction.
6. A trigonometric function that represents the reciprocal of tangent.
8. A function in which the variable is an exponent, often represented as y=a⋅b^x
11. A transformation that moves a graph horizontally or vertically without changing its shape.
12. A range of values, often represented by two endpoints, indicating where a function is defined or certain conditions hold.
13. A trigonometric function that represents the reciprocal of cosine.
14. Circle, A circle with a radius of one, used to define trigonometric functions for all angles.
17. A trigonometric function representing the ratio of the adjacent side to the hypotenuse in a right triangle.
18. A function that reverses the effect of the original function, swapping inputs and outputs.
19. Referring to functions that have the shape of sine or cosine waves, characterized by periodic oscillations.
20. A polynomial of degree one, represented in the form y=mx+b.
22. A type of asymptote that occurs when the degree of the numerator is one more than the degree of the denominator in a rational function.
24. The branch of mathematics dealing with the relationships between angles and sides of triangles.
27. An expression consisting of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.
29. The set of all possible input values (x-values) for a function.
30. A visual representation of the relationship between variables, typically plotted on a coordinate plane.
35. A trigonometric function representing the ratio of the opposite side to the hypotenuse in a right triangle.
36. The maximum distance a wave or periodic function reaches from its midline.
38. The set of all possible output values (y-values) of a function.
39. A polynomial of degree two, often represented in the form ax^2+bx+c.
41. A mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, and ≥.
42. A trigonometric function representing the ratio of the opposite side to the adjacent side in a right triangle.
43. Numbers that include a real part and an imaginary part, typically in the form a+bi.
45. A coordinate system that represents points using distance from a reference point and angle from a reference direction.
46. A function that can be expressed as the ratio of two polynomials.

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1. A set of values that specify a point's location in a space, often expressed as (x, y).
3. A transformation that alters the size of a graph, making it wider or narrower.
5. behavior, The behavior of a function as the input values approach positive or negative infinity.
6. A trigonometric function that represents the reciprocal of sine.
7. The measure of the steepness of a line, calculated as the rise over run between two points.
9. A structured arrangement of data in rows and columns for easy reference.
10. A change made to a function or graph that alters its position, size, or shape.
15. A polynomial with exactly two terms, such as a+b.
16. A sequence of numbers with a constant ratio between consecutive terms.
20. The value that a function approaches as the input approaches a certain point.
21. A line that a graph approaches but never touches or crosses.
23. The length of one complete cycle of a periodic function, such as sine or cosine.
25. The horizontal line that represents the average value of a periodic function, dividing the wave into equal halves.
26. A function that represents the inverse of exponentiation, often in the form y=logb (x).
28. One of the four sections of the Cartesian plane, defined by the signs of the coordinates.
31. A trigonometric function representing the ratio of the length of the opposite side to the length of the adjacent side in a right triangle, or the slope of the angle in the unit circle.
32. A point in the graph of a function where it is undefined due to a removable discontinuity.
33. A unit of angle measurement based on the radius of a circle, where one radian corresponds to an arc length equal to the radius.
34. The process of breaking down an expression into simpler components, or factors, that multiply to give the original expression.
37. Information collected for analysis, often represented in tables or graphs.
40. The difference between the observed value and the value predicted by a regression model.
41. The point where a graph crosses the axes; x-intercepts occur on the x-axis, and y-intercepts on the y-axis.
44. A value of the variable that makes a function equal to zero, also known as a root.
47. A sequence of numbers with a constant difference between consecutive terms.

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2. A perfect round ball. A closed solid bounded by a surface on which all points are equidistant from a central point called the center.
4. The boundary line of a circle or the length of such a boundary line.
6. Concepts that are not defined in terms of previously defined concepts
8. A can-shaped solid figure.
9. A statement accepted as true without proof. It should be so simple and direct that it seems to be unquestionably true.
11. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
12. An angle that is greater than 180°.
13. An angle that measures 90° or /2 radians. It is the angle between two perpendicular lines such as the corner of a square or two perpendicular planes such as the wall and the ground.
15. Two angles that share the same vertex and have one side in common between them.
16. Is a solid formed by rotating a right triangle around one of its legs.
17. The pair of angles opposite each other formed by two intersecting lines.
22. A line segment that passes through the center of a circle and has its two endpoints on the circle. It also represents the length of such a line segment.
24. Lying on the same straight line.
25. An angle with a measure between 0° and 90°.
27. Collinear rays with the same endpoint. They form a line.
30. When the sum of two angles measures 90°
31. A point B that lies on the line connecting two points A and C and has one of the two points on each side of it. The point B is said to be between points A and C if, and only if, AB + BC = AC, in which AB is the distance from A to B, BC is the distance from B to C, and AC is the distance from A to C.
32. Also called half-line. It is a straight line that extends from a point.
37. A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
40. An angle that is between 90° and 180°.
42. A unit of measure used to measure the magnitude of an angle, equal in magnitude to 1/360 of a complete revolution.
43. Part of a line between two points called endpoints.
44. A flat surface that can extend forever in length and width but has no thickness. The surface of a calm sea and a flat valley are all physical models of a plane.
45. A planar surface of a solid figure.
46. The length of the boundary around a shape or a figure.

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1. Two distinct coplanar lines that do not intersect
3. A solid bounded by at least four polygonal faces. The pairs of faces meet along their edges. Three or more edges meet in each vertex. A diagonal of it is a line segment joining two vertices that are not in the same face.
4. Points or lines that all lie in the same plane.
5. A polygon that has at least one diagonal with points outside the polygon.
7. The point on a line segment that divides the given line segment into two congruent parts.
9. A space figure with two parallel polygonal bases that are the same shape and the same size.
10. At a 90° angle.
14. The side opposite the right angle in a right triangle.
16. Planar figures or solid shapes that have the same shape and size.
18. A line segment where two faces of a polyhedron meet.
19. The path of a point moving in opposite directions infinitely. It has neither width nor thickness but length. It is the shortest distance between two points.
20. Two angles that add up to 180°.
21. The figure formed by two rays from the same initial point. The two rays are called the sides of it and the initial point is called the vertex of it.
23. A polygon that has no diagonal with points outside the polygon
26. A pair of numbers that describe the position of a point on a plane by using the horizontal and vertical distances from the two reference axes.
28. A geometric object that has no dimension and is used to indicate a location.
29. Lines in three dimensional space that do not intersect and are not parallel.
30. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
33. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
34. A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
35. A closed plane figure bounded by at least three line segments.
36. A pair of adjacent angles formed by intersecting lines.
38. A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved.
39. A line segment between the center and a point on the circle or sphere.
41. The corners of a polygon.

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3. The variable that is the effect or result; represented with the y-axis
4. the distance between each data point and the mean
5. variable that you can change; the cause; x axis
7. Two or more ratios that have the same value. You can multiply each of the values in the first ratio by the same number to get the values in the second ratio.
8. a four-sided polygon
9. Data that consists of names, labels, or other nonnumerical values
10. A solid in which the base is a polygon. All of the other faces are triangles that meet at a single vertex.
13. A comparison of two quantities by division
15. A number that is a factor of two or more numbers
16. means it continues in the same way
22. a bar graph showing a frequency distribution
23. Numbers that are used to describe the center of a set of data. These measures include the mean, median, and mode.
24. a graphical device that summarizes data by the number of dots above each data value on the horizontal axis
25. Either positive or negative
26. a numerical measurement describing some characteristic of a sample; could be a mean, median, MAD, or IQR
27. a number that is a multiple of two or more numbers
29. the answer to an addition problem
30. A long, skinny rectangle cut into shorter lengths used to show relationships between quantities
32. the answer to a multiplication problem
33. 1. The sum of all the areas of all the faces or surfaces that enclose a solid. 2. The sum of all the areas of all surfaces of a solid.
34. The distance a number is from zero on a number line. ALWAYS POSITIVE
35. a 2-d figure that can be folded to make a polyhedron
36. The amount of space an object takes up; the number of cubic units that fill a solid
38. indicates the number of times a quantity is multiplied by itself.
40. average; you add all numbers and divide by the number of numbers
45. A symbol used to represent a quantity that can change
48. the difference between the first and third quartiles
52. a solid that has two bases that are identical copies.
53. Each straight side of a polygon
55. A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis. They intersect at (0, 0)
56. A flat surface of a polyhedron
58. the difference between the highest and lowest scores in a distribution
59. A number that is the same distance from zero and on different sides of the number line.
60. a pair of parallel number lines used to represent equivalent ratios; the tick marks labeled 0 are aligned; number lines increase at individual rates
61. A number multiplied by a variable in an algebraic expression.
62. A question that has many different, or variable, answers.
63. A closed 2-d shape with straight sides that do not cross each other.
64. a number greater than zero
65. The largest factor that two or more numbers have in common.

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1. A quadrilateral with two pairs of parallel sides
2. A rate with a denominator of 1.
6. any number that makes the inequality true
11. A measure that describes how far apart the data are distributed; range, interquartile range, and mean absolute deviation are examples
12. A graph that displays the highest and lowest quarters of data as whiskers, the middle two quarters of the data as a box, and the median
14. For every 100
17. Any side of a parallelogram or triangle can be chosen as a base. Base can also refer to the length of this side.
18. The number of square units required to cover a surface.
19. the middle score in a distribution when in numerical order; half the scores are above it and half are below it
20. for each
21. the answer to a division problem
28. expressions that have the same value
31. The base is the face that gives the solid its name. A prism has two identical bases that are parallel. A pyramid has one base.
37. the average distance between each data value and the mean; add how far off each value is from the mean, add those numbers, then divide by how many numbers you have
39. Data that consists of numbers
41. a value of the variable that makes the equation true
42. the cost per item
43. The measurement from an object's base to it's opposite side. It must be perpendicular to the base.
44. Each part of an algebraic expression separated by a plus or minus sign.
46. a common multiple of the denominators of two or more fractions
47. The smallest number that is a common multiple of two or more numbers.
49. a number less than zero
50. each of four equal groups into which a population can be divided according to the distribution of values of a particular variable.
51. A part of every 100. It is similar to percent
54. A three-dimensional figure with faces that are polygons
57. An arrangement of data made up of horizontal rows and vertical columns.

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3. In architecture, a modular unit of space, generally cubic and generally defined by four supporting piers or columns.
8. In architecture, a convex, evenly curved roof; technically, an arch rotated 360 degrees on its vertical axis.
9. In architecture, a structural system in which a horizontal element is supported from above by means of slender vertical cables attached to a thick main cable that describes a parabolic curve between two towers.
12. Style of art and architecture that flourished in Europe, especially norther Europe, from the mid-12th to the 16th century.
13. In architecture, a spiral, scroll-like ornament such as the capital of a column in the Ionic order.
16. Common name for two minerals, nephrite and jadeite.
18. In architecture, the decorative sculpted block surmounting a column.
22. Made of baked ("fired") clay.
24. The wedge-shaped, central stone in an arch. Inserted last, the keystone locks the other stones in place.
26. In architecture, a projecting band on a ceiling or a vault.
27. Pliable, threadlike strand
28. Generally, any horizontal band of relief sculpture or painted decoration.
30. The shaft is fluted and rests on a more detailed stepped base. The elaborate capital is carved with motifs based on stylized acanthus leaves.
31. Made from the sap of a tree that originally grew only in China.
32. Teeth and Tusks of certain large mammals.
34. The shaft is fluted and rests on a stepped base. The capital is carved in graceful scrolling forms called volutes.
35. Sun-dried (as opposed to furnace-baked) brick made of clay mixed with straw.
36. A projecting porch with a roof supported by columns, often marking the entrance to a building.
37. In architecture, a curving, triangular section that serves as a transition between a dome and the four walls of a rectangular building.
38. In architecture, an exterior support that counteracts the outward thrust of an arch, dome, or wall.
41. In Classical architecture, the triangular element supported by the columns of a portico. More generally, any similar element over a door or window.
42. An arched masonry structure or roof that spans an interior space.
44. A vertical support, often square or rectangular, used to bear the heaviest loads in an arched or vaulted structure.
46. In architecture, a structural system in which a horizontal element is supported from above by means of cables that rise diagonally to attach to a vertical mast or tower.
49. In architecture, a cylindrical wall used as a bae for a dome.
50. Capable of being molded or shaped, as clay.
51. In architecture, a horizontal structural element supported at one end only, with the other end projecting into space.
52. In Classical architecture, the uppermost element of an entablature.
53. Yoruba word meaning "one who knows honor".

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1. Consists of a strut or arch segment running from a freestanding pier to an outer wall.
2. The technique of creating images or decorations from precisely cut pieces of colored glass held together with strips of lead.
4. In Classical architecture, the horizontal structure supported by capitals and supporting in turn the pediment or roof.
5. An interior space filled with rows of columns that serve to support the roof.
6. In architecture, the ability of a material to withstand tension and thus to span horizontal distances without continuous support from beneath.
7. In Classical architecture, a system of standardized types.
10. A circular opening in a wall or at the top of a dome.
11. The technique of shaping metal, especially iron, usually by heating it until it softens and then beating or hammering it.
12. An architecture structure invented by R. Buckminster Fuller, based on triangles arranged into tetrahedrons.
14. A ewer or jug-type vessel in the form of one or more animal or human figures. Usually contained water for washing hands.
15. In an ancient Roman basilica, the taller central space flanked by aisles.
17. In Classical architecture, the lowest band of the entablature.
19. In architecture, a structural system based on two or more uprights supporting a horizontal crosspiece.
20. A ceramic ware, usually white, fired in the highest temperature ranges and often used for fine dinnerware, vases, and sculpture.
21. A recessed, geometrical panel in a ceiling, often used in multiples as a decorative element.
23. A style that prevailed after World War II as the aesthetic of earlier Modernist movements such as de Stijl and the Bauhaus spread throughout the West and beyond.
25. In ceramics, a liquid mixture used for casting consisting of powdered clay, water, and a deflocculant.
29. An arched masonry structure or roof that spans an interior space.
33. In architecture, a construction technique in which each course of stone projects slightly beyond the one below.
39. An open, cylindrical interior space, usually covered by a dome.
40. The shaft of the column may be smooth or fluted. It does not have a base. The capital is a rounded stone disk supporting a plain rectangular slab.
43. A tower forming part of a mosque and serving as a place from which the faithful are called to prayer.
45. A style of architecture and art dominant in Europe from the 10th to the 12th century.
47. In architecture, a series carried on columns or piers.
48. A hard, unreactive, colorless compound which occurs as the mineral quartz and as a principal constituent of sandstone and other rocks.

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5. A three-dimensional geometric figure with parallel congruent bases. The bases can be shaped like any closed plane figure (not necessarily a circle) and must be oriented identically.
9. Two lines that intersect at right angles.
10. A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
13. A geometric figure with no indentations. Formally, a geometric figure is convex if every line segment connecting interior points is entirely contained within the figure's interior.
16. A three dimensional figure with a single base tapering to an apex. The base can be any simple closed curve.
19. The pair of angles opposite each other formed by two intersecting lines.
20. A basic element of geometry.
21. Two acute angles that add up to 90°. For example, 40° and 50° are complementary. In the diagram below, angles 1 and 2 are complementary.
22. Two angles in a plane which share a common vertex and a common side but do not overlap. Angles 1 and 2 below are adjacent angles.
26. zero in denominator for slope
27. Also called half-line. It is a straight line that extends from a point.
29. A plane figure bounded by three or more straight-line sides.
31. An angle that has measure less than 90°.
33. Exactly equal in size and shape.
35. The point halfway between two given points.
36. An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
37. A three-dimensional figure bounded by plane polygonal faces. The point at which three or more faces meet is called a vertex. A line along which two faces meet is called an edge.
39. A straight line along which two faces of a solid meet.
43. A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
44. Two things that are located or facing directly across. Two opposite numbers are the two numbers that are equidistant from the origin on a number line but in opposite directions from the origin.
46. A line segment between two points on the circle or sphere which passes through the center.
47. The distance from the center of a circle to any point on its circumference.
48. Two or more straight coplanar lines that do not intersect.
49. A unit of angle measure equal to of a complete revolution. There are 360 degrees in a circle.

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1. Lying on the same line.
2. A solid figure with one face a polygon (the base) and the other faces being triangles that all share the same vertex.
3. The length of the boundary around a shape or a figure.
4. general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions; or, a general conclusion that has been proved
6. A complete circular arc. Circumference also means the distance around the the outside of a circle.
7. One of the two pairs of equal angles formed when two straight lines intersect each other.
8. A shape or solid which has an indentation or "cave". Formally, a geometric figure is concave if there is at least one line segment connecting interior points which passes outside of the figure.
11. A geometric object that has no dimension and is used to indicate a location.
12. Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting. They lie in different planes.
14. pair
15. Angle that measures larger than 90 degrees.
16. Lying in the same plane. For example, any set of three points in space are coplanar.
17. Two rays sharing a common endpoint. Angles are typically measured in degrees or radians.
18. The side of a right triangle opposite the right angle. Note: The hypotenuse is the longest side of a right triangle.
23. The surface included within a closed figure, measured by the number of square units needed to cover the surface.
24. pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are a linear pair. So are angles 2 and 4, angles 3 and 4, and angles 1 and 3. Linear pairs of angles are supplementary.
25. Two angles that add up to 180°.
28. An angle that measures 90° or /2 radians. It is the angle between two perpendicular lines such as the corner of a square or two perpendicular planes such as the wall and the ground.
30. One of the flat surfaces making up a polyhedron. Note: The faces of a polyhedron are all polygons.
32. On the coordinate plane, the pair of numbers giving the location of a point (ordered pair).
34. A polyhedron with two parallel, congruent polygons being its bases and all the other faces being parallelograms.
38. segment All points between two given points (including the given points themselves).
40. A perfect round solid in which all points on its surface are equidistant from a fixed point called the center.
41. A line segment, line, or plane that divides a geometric figure into two congruent halves.
42. Point B is between points A and C if it is on the line segment connecting A and C.
45. An initial proposition or statement that is generally accepted as true without proof (self-evident truth) and from which further statements, or theorems, can be derived by using logical deduction.