1. Chapter 7 Similarity

2. Definition: Ratio

5. The angles of a pentagon are in ratio 4:2:5:5:2, find the measure of each angle 4x+2x+5x+5x+2x = 540 18x = 540 x = 30 120, 60, 150, 150, 60

6. Definition: Proportion

7. Identify the means and extremes:

9. Definition: Geometric Mean A proportion in which the second and third terms are equal

10. Find the geometric mean between 5 and 28.

11. 18 is the geometric mean between 7 and what number?

12. Properties of Proportions:

13. Definition: Similar Polygons Two polygons are similar iff, 1)Corresponding angles are congruent 2)Corresponding sides are in proportion

14. If ABCDE ~ NGPHM, then….

18. Ways to prove triangles similar: 1) AA~ theorem 2) SSS~ theorem 3) SAS~ theorem

19. AA~ theorem If two angles of one triangle are congruent to corresponding angles of another triangle, then the triangles are similar.

21. Find BE

22. How tall is the tree?

25. Given: BC // DE Prove: ∆ABC ~ ∆ADE

31. Triangle Proportionality Thm aka (side splitter thm)

34. Triangle Angle Bisector Thm