Practice b ratio in similar polygons

Name———————————————————————— Date ————————————— Practice B Lesson 6.1 For use with the lesson “Use Similar Polygons” List all pairs of congruent angles for the figures. Then write the ratios of the corresponding sides in a statement of proportionality. 1. n ABC , nDFE 2. WXYZ , MNOP A D B W X Z C Y M N F E P O 3. Multiple Choice Triangles ABC and DEF are similar. Which statement is AB BC A. ​ }​5 }​ EF ​DE AB CA B. ​ }​5 }​ DE​FD Lesson 6.1 not correct? C. ∠ A > ∠ F Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor. D 4. 5. Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. A 5 6 5 24 W D 6 16 6 3 C E 4 A 4 4 6 C B X 16 B F Z Y 24 In the diagram, WXYZ , MNOP. 6. Find the scale factor of WXYZ to MNOP. 7. Find the values of x, y, and z. P 10 8. Find the perimeter of WXYZ. W 9. Find the perimeter of MNOP. 10. Find the ratio of the perimeter of MNOP to the perimeter of WXYZ. 12 y Z 12 z8 Y M X 8 O x 1358 10 N Geometry Chapter Resource Book CS10_CC_G_MECR710761_C6L01PB.indd 7 6-7 4/28/11 2:10:18 PM Name———————————————————————— Date ————————————— Practice B Lesson continued For use with the lesson “Use Similar Polygons” 6.1 The two triangles are similar. Find the values of the variables. 11. 12. n 5.5 6 15 m 10 8 12 m m�4 In Exercises 13 and 14, use the following information. Lesson 6.1 Similar Triangles Triangles RST and WXY are similar. The side lengths of nRST are 10 inches, 14 inches, and 20 inches, and the length of an altitude is 6.5 inches. The shortest side of nWXY is 15 inches long. 13. Find the lengths of the other two sides of nWXY. 14. Find the length of the corresponding altitude in nWXY. 15. Multiple Choice The ratio of one side of n ABC to the corresponding side of a similar nDEF is 4 : 3. The perimeter of nDEF is 24 inches. What is the perimeter of n ABC ? B. 24 inches C. 32 inches In the diagram, nXYZ , nMNP. 16. Find the scale factor of nXYZ to nMNP. X 4 17. Find the unknown side lengths of both triangles. 18. Find the length of the altitude shown in nXYZ. Z 6 Y M 19. Find and compare the areas of both triangles.