Geometry :)

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Across
  1. 3. These help to solve problems with theories that are already in use in many shapes or other problems. They are used to prove that triangles are congruent and that pieces of a shape are what they are thought to be.
  2. 6. These are 2 lines that do not lie in the same plane. They are not able to intersect at all and their points can never connect but a line in between them is able to like a transversal.
  3. 12. This is a line that intersects 2 or more lines at different points. The lines have to be on the same plane but they can produce various types of angles and their pairs.
  4. 13. This happens when a shape is flipped on a plane to show the same points but on the other side of the spectrum. The new image would be a figure that looks to be in a mirror and have a reflection line.
  5. 14. They have to have all their interior angles add up to 180 degrees and 2 of their sides have to add up and be more than the 3rd side. They come in many forms and ratios but they must only have three sides to them and the exterior angles have to equal 360 degrees.
  6. 16. A straight line that passes from one side to another side through the center of a circle or sphere. When they are split in half they create the radius or center of the shape to any point on the circumference.
  7. 18. These are 2 angles with a common vertex and side but they do not have common interior points. The angles just have to be next to each other without the factor if they have the same amount of degrees taken into consideration.
  8. 19. This is the ratio of the lengths of 2 corresponding sides of two simial shapes. They must equal each other when simplified otherwise the 2 shapes are not congruent with each other.
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  1. 1. This is when a shape has sides that are of the same size and shape as each other. They have to be equal to each other to be considered this.
  2. 2. This is what happens when an angle measures more than 90 degrees but less than 180 degrees. The angle can be any degree between those two degrees but if it is on 90, 180, or anything before/after them then it qualifies as something else.
  3. 4. This is what happens when a shape is enlarged or shrunken at a fixed point. The shape should still be the same when reversed with the same dilation number since all the points remain congruent with each other.
  4. 5. These are 2 angles that when they are added together make a sum of 90 degrees. They are used when trying to figure out the number of degrees an angle is when given that it's a right angle and the other angle in it.
  5. 7. These are 2 angles that when they are added together make a sum of 180 degrees. This can be used when trying to find an angle when one is already known on a straight line, like same-side interior angles.
  6. 8. This happens when a shape is turned around a point or the origin and the shape keeps the points congruent with each other. When turned in the opposite direction for the same amount of degrees at the same fixed point, the image should still look the same.
  7. 9. This is when points or lines are on the same plane as other ones. This can be seen if vectors are parallels and the points lie on a straight line/plane. Postulate This is an accepted statement of a fact or logical reason that is used to figure out if something is what it seems to be. They define the basic rules that help with figuring out geometric figures and confirming if statements are true or not.
  8. 10. This is a shape that must have opposite sides and angles congruent along with the consecutive angles supplementary to each other. They also have diagonals that bisect each other which means that if one angle is right then all of them are because of these rules.
  9. 11. Something that cuts an object or line into 2 straight down the middle. Both of the things left over will be equal to each other.
  10. 15. This happens when a shape is pushed along the x or y axis alone with all the points inside of it. The shape slides each of the points the same distance in the same direction.
  11. 17. A figure that is formed by two rays that have a common endpoint. They can be found in all shapes and have certain rules to figure them out when needed.