1. Similar Figures Return to Table of Contents

4. Example: Is the pair of polygons similar? Explain your answer. 4 3_ 6 4.5 4(4.5) = 6(3) 18 = 18 YES 4 yd3 yd 6 yd 4.5 yd = 4 _6_ 3 4.5 4(4.5) = 6(3) 18 = 18 YES OR =

5. Example: Is the pair of polygons similar? Explain your answer. 5 8_ 10 13 5(13) = 10(8) 65 = 80 NO 5 m 8 m 10 m 13 m = _5 10_ 8 13 5(13) = 8(10) 65 = 80 NO = OR

6. 15 ft9 ft 21 ft 12 ft Yes No Are the polygons similar? You must be able to justify your answer. (Shapes not drawn to scale.) 84

7. 10 m 8 m 2.5 m 2 m Yes No Are the polygons similar? You must be able to justify your answer. (Shapes not drawn to scale.) 85

8. 15 yd 6 yd 15 yd 37.5 yd Yes No Are the polygons similar? You must be able to justify your answer. (Shapes not drawn to scale.) 86

9. Example: Find the value of x in the pair of similar polygons. 15 6 x 10 15(10) = 6x 150 = 6x 25 cm = x 15 cm = x 6 cm 8 cm 10 cm 15 x 6 10 15(10) = 6x 150 = 6x 25 cm = x OR =

10. Try This: Find the value of y in the pair of similar polygons. y 15 in 5 in 7.5 in

11. 110 y 80 Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 87

12. 25 ft 18 ft 17.5 ft w Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 88

13. 17 m 4.25 m 4 mx Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 89

14. 11 mm38.5 mm 6 mm y Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 90

15. 70 m 7 m 30 m ? 13 m Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 91

16. 297 m 81 m 231 m 63 m ? 429 m Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 92

17. 5 mm 2 mm 27.5 mm x Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 93