Name Class Date Practice 7-2 Form K Similar Polygons List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. 1. ABCD , WXYZ 2. nGHI , nKJL W G L A Z D B C X Y H u lZ /D > u u /C > lY K I u lL /I > u /B > lX /A > /W J u /G > lK u u u u DA CD BC AB 5 5 5 WX XY YZ ZW /H > lJ IG HI u u 5 JL LK u u GH KJ 5 Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. 3. 3 C 6 4 Q D 8 6 T 3 E F CDEF M QRST; 3 i 4 4. Q R R 5. 10 O 3 U no; corresponding sides not proportional S 6. D 8 I B 6 4 V S 12 R S M L 4 8 8 4 T 88 49 12 N 8 6 43 9 H C 49 4 J kDBC M kJHI; 3 i 2 U 3 T no; corresponding sides not proportional Algebra The polygons are similar. Find the value of each variable. 7. 12 y 12 8. 6 15 a b 4 x 18 9 9 7.2; 6 10 12 6; 8 Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 15 Name 7-2 Class Date Practice (continued) Form K Similar Polygons 9. You want to enlarge a 3 in-by-5 in. photo. The paper you will print on is 8.5 in.-by-14 in. What is the largest size the photo can be? 8.4 in.-by-14 in. 10. For art class, you need to make a scale drawing of the Parthenon using the scale 1 in. = 5 ft. The Parthenon is 228 ft long. How long should you make the building in your scale drawing? 45.6 in. 11. Ella is reading a map with a scale of 1 in. 5 20 mi. On the map, the distance Ella must drive is 4.25 in. How many miles is this? 85 mi Algebra Find the value of z. Give the scale factor of the polygons. 12. nJKL , nQRS 2; 1 i 3 Q K 3 9 R z4 J z L S 13. The scale factor of ABCD to EFGH is 7 i 20. What is the scale factor of EFGH to ABCD? 20 i 7 In the diagram below, kNOP M kWXY . Find each of the following. 14. the scale factor of nNOP to nWXY 2 i 5 15. m/X 58 W N 16. m/Y 73 NP 2 17. WY 5 18. WX 15 49 12 6 58 O 4 P Y X 10 19. NP 4.8 20. A company makes rugs. Their smallest rug is a 2 ft-by-3 ft rectangle. Their largest rug is a similar rectangle. If one side of their largest rug is 18 ft, what are the possible dimensions of their largest rug? 18 ft-by-27 ft or 12 ft-by-18 ft Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 16