Geometry Unit Vocabulary

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Across
  1. 3. form: The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line. (x1, y1) Are the coordinates of a given point on the line — compare slope-intercept form.
  2. 5. bisector: Lines passing through the midpoint of each side which are perpendicular to the given side. A line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.
  3. 8. Formula: Applied when one is required to find the exact center point between two defined points. So for a line segment, use this formula to calculate the point that bisects a line segment defined by the two points.
  4. 10. 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. The cosine of an angle is defined as the sine of the complementary angle.
  5. 11. A relationship between two quantities, normally expressed as the quotient of one divided by the other. The relationship in quantity, amount, or size between two or more things : proportion.
  6. 12. A mirror image of the shape. An image will reflect through a line, known as the line of reflection.
  7. 14. A geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. Translations are often referred to as slides.
  8. 16. line: Two lines (on the same plane) are parallel to each other if they never intersect each other. Regardless of how far they are extended on either side.
  9. 18. The trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse. It's important for finding distances or height and can also be used to find angle measures.
  10. 19. 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. Does not intersect a curve or curved surface.
Down
  1. 1. Theorem: A fundamental relation in geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
  2. 2. line: A perpendicular is a straight line that makes an angle of 90° with another line. 90. Lines that intersect at a right (90 degrees) angle.
  3. 4. line: A line perpendicular to a surface or to another line. Considered as a base such as a line perpendicular to the horizon.
  4. 6. A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. Means turning around a center.
  5. 7. The longest side of a right-angled triangle. The side opposite the right angle.
  6. 9. Formula: Algebraic expression that gives the distances between pairs of points in terms of their coordinates. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
  7. 13. line: One that goes from left to right across the page.The x-axis is an example of a horizontal line.
  8. 14. A line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two or more other lines in the plane are parallel.
  9. 15. Form: A linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers.
  10. 17. form: A line is in the form Ax + By = C. Where A is a positive integer, and B, and C are integers.