1. SIMILARITY: A REVIEW A REVIEW Moody Mathematics

2. Midsegment: a segment that joins the midpoints of 2 sides of a triangle? Moody Mathematics

3. A Midsegment is parallel to one side of the triangle and half of its length. Moody Mathematics

4. x 16 Find x, the length of the midsegment X = 8 Moody Mathematics

5. 8 midsegments x y 7 20 Find x, y, z z Moody Mathematics

6. 8 midsegments x y 7 20 x=8, y=10, z=14 x=8, y=10, z=14 z Moody Mathematics

7. Property of Proportions #1 Moody Mathematics

8. Property of Proportions #2 Moody Mathematics

9. Property of Proportions #3 Moody Mathematics

10. Property of Proportions #4 Moody Mathematics

11. Property of Proportions #5 Moody Mathematics

12. PRACTICE:

19. Definition: Polygons are similar if: 1. Corresponding Angles are congruent 2. Corresponding sides are in proportion Moody Mathematics

21. 8 10 7.5 x 12 y w Find w, x, y, z in these similar trapezoids z Moody Mathematics

22. 8 10 7.5 x 12 y w z Moody Mathematics

23. 8 10 7.5 x 12 y w W=60 o z X=9.375 Y=9.6 Z=120 o Moody Mathematics

24. Similar Triangles Moody Mathematics

25. AA Postulate: If 2 angles of one triangle are congruent to 2 angles of another triangle, then the 2 triangles are similar. Moody Mathematics

26. SSS~ Postulate: If all 3 sides of two triangles are in proportion, then the triangles are similar. Moody Mathematics

27. SAS~ Postulate: If 2 sides of two triangles are in proportion and their included angles are congruent, the triangles are similar. Moody Mathematics

28. PRACTICE:

29. 4 7 10 17.5 Similar? Yes by SAS~ Yes by SAS~ Moody Mathematics

30. Similar? 6 5 8 8.4 7 11.2 Yes by SSS~ Moody Mathematics

31. Similar? Yes by AA Moody Mathematics

32. 62 o 48 o 50 o Similar? No! Corresponding angles are not congruent. No! Corresponding angles are not congruent. 68 o 70 o Moody Mathematics

33. 8 4 7 x Find x Moody Mathematics

34. 4 6 9 Find x x Moody Mathematics