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Name Class Date Practice 7-2 Similar Polygons Are the polygons similar? If they are, write a similarity statement, and give the similarity ratio. If they are not, explain. 2. X A 6 5 12 10 R Q 7 Y 20 — 3 Z 20 — 3 A 3. 4 4 S 3 T 5 B 14 B 4. J 8 C K S 8 8 8 M M 8 120 8 60 8 R B 16 5 3 A 6. X K 4 Y ? 10. MN IJ = JK 9 9 L 4 4 N 21 M W 4 6 M Z J IJ = HK 12. MN ? K N M 9. N ? HI 11. HK = LM ? 6 35 20 N 8. K ? Z C LMNO M HIJK. Complete the proportions and congruence statements. 7. M ? 3 5 N C U Y K 12 8 120 60 L 5. T 5 X 3 All rights reserved. 1. L O I H C 13. 14. P Q G 5 ft A 6 ft L 3.3 ft B E x 3 in. F S G 15. 1.5 cm Z 4 cm W K x H M Y X R 8 in. 16. J x F M 5 in. 15 m L x O P 6m S 9m N Q R 10 cm E G kWXZ M kDFG. Use the diagram to find the following. Z 17. the similarity ratio of WXZ and DFG 18. mZ 21. mG 2 19. DG 22. mD Lesson 7-2 Practice 20. GF 23. WZ 3 W 37 4 X D 6 F Geometry Chapter 7 © Pearson Education, Inc., publishing as Pearson Prentice Hall. Algebra The polygons are similar. Find the values of the variables. Name Class Date Practice 7-3 Proving Triangles Similar Explain why the triangles are similar. Write a similarity statement for each pair. 1. A 2. P B 9 15 L 20 12 X M Q R A 4. M 3. X 12 Q 4 M 8 6. A B B All rights reserved. X 30 J C X 130 20 B W 16 5. A 4 P A 30 2 A Y C B R N Z C Algebra Find the value of x. 7. 8. 9 15 x 5 © Pearson Education, Inc., publishing as Pearson Prentice Hall. 10 x 11 8 9. 12 12 6 x 7 10. 11. 12 4 42 12. 4 15 17 8 x 10 3 x x 12 14 8 13. Natasha places a mirror on the ground 24 ft from the base of an oak tree. She walks backward until she can see the top of the tree in the middle of the mirror. At that point, Natasha’s eyes are 5.5 ft above the ground, and her feet are 4 ft from the image in the mirror. Find the height of the oak tree. Geometry Chapter 7 x 5.5 ft 4 ft 24 ft Lesson 7-3 Practice 3