Chapter 8: Similar Figures Vocabulary

4. three parallel lines theorem states that if three _______ lines intersect two transversals, then they divide the transversals proportionally
6. parallel lines are coplanar lines that do not __________
10. similar figures are geometric figures that have the _____ _____ but not necessarily the same size
12. perpendicular lines are two lines that intersect to form a _______ angle
13. corresponding parts are a pair of sides or angles that have the same relative position in two _________ figures
14. scale factor is the ratio of the lengths of the _____________ sides of the image and the preimage of a dilation

1. if two polygons are ________, then the ratio of their areas is equal to the squares of the ratios of their corresponding side lengths
2. if two polygons are similar, then the ratio of their ____________ is equal to the ratio of their corresponding side lengths
3. angle angle similarity theorem states that if two angles of one _______ are congruent to two angles of another triangle, then the two triangles are similar
5. similarity transformation is a dilation or a ______ of rigid motions and dilations
6. triangle proportionality theorem states that if a line parallel to one side of a triangle _______ the other two sides, then it divides the two sides proportionally
7. side angle side similarity theorem states that if an angle of one triangle is __________ to an angle of a second triangle and the lengths of the side including these angles are proportional, then the triangles are similar
8. corresponding angles are two angles that are formed by two lines and a ___________ that are in corresponding positions
9. side side side similarity theorem states that if the corresponding side lengths of two triangles are ________, then the triangles are similar
11. triangle angle bisector theorem states that if a ray _____ an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides