2. Similar Polygons 6.3 Yes: ABCD ~ FEHG No PQ = 12 m  Q = 30

3. Similar Polygons 6.3 Chapter 6 Similarity Section 6.3 Similar Polygons

4. 6.3 Definition Similar Polygons Trapezoid ABCD ~ Trapezoid PQRS  B   Q,  A   P,  C   R,  D   S

5. Similar Polygons 6.3  S   C  T   D  U   E Corresponding components must line up in the similarity statement

6. Similar Polygons 6.3  L   G  M   H  N   I Corresponding components must line up in the similarity statement

7. Similar Polygons 6.3  Q   A  R   B  S   C  T   D Corresponding components must line up in the similarity statement

8. Similar Polygons 6.3 Definition: Scale Factor The ratio of any two corresponding sides of similar polygons. Scale Factor

9. Similar Polygons 6.3 Solution 1. Find the Scale Factor 2. Find the ratio of XY and BE 3. Set up a proportion and solve for XY Scale Factor: Ratio of CD and XY Proportion 2(XY) = 9

10. Similar Polygons 6.3 3  D   Y m  Y + m  X = 180 Consecutive Interior Angle Theorem m  Y + 117 = 180 m  Y = 63 m  D = 63

11. Similar Polygons 6.3 3 p = XW + WZ + YZ + XY Need to find YZ 2(YZ) = 18 YZ = 9 9 p = 6 + + 9 + p = 24

12. Similar Polygons 6.3 3 9 Ratio of the perimeters = scale factor

13. Similar Polygons 6.3 Assume the angles are congruent

14. Similar Polygons 6.3 Assume the angles are congruent

15. Similar Polygons 6.3 x x + x + 42 = 180 2x + 42 = 180 2x = 138 x = 69 8y = 100

16. Similar Polygons 6.3 y = 11 72 x = 72

17. Similar Polygons 6.3 Ratio of the perimeters = scale factor Fill in what you know and solve 8x =480 x = 60 State your answer The perimeter of  ABC = 60 inches

18. Similar Polygons 6.3 Ratio of the perimeters = scale factor A B C D F G E H 18 Find FG 4(FG) = 18 4½4½ 4½4½

19. Similar Polygons 6.3 A B C D F G E H 18 EF = GH and FG = EH 4½4½ 4½4½ p = EF + FG + GH + EH p = EF + FG + EF + FG p = 2(EF) + 2(FG) 15 = 2(EF) + 2(4½) 15 = 2(EF) + 9 6 = 2(EF) 3 = EF 3 3

20. Similar Polygons 6.3 HW # Pg