Answer Key

[Pages:7]Answer Key

Lesson 6.1

Practice Level B

1. 3 : 4

2.

} 4 1

3. }37

4.

} 5 12

5. 6 : 5

6.

} 7 8

7. } 142ccmm; }13 8. } 160iinn..; }35 9. } 1128 iinn..; }23 10. }12

11. }41 12. }15 13. }57 14. 24 in., 4 in.

15. 35 cm, 15 cm 16. 10?, 70?, 100?

17. 50?, 60?, 70? 18. 358, 708, 758 19. 12

20. 32 21. 7 22. 9 23. 7 24. 3 25. 4

}

}

}

}

26. 3?3 27. 7?2 28. 8?2 29. 2?30

}

30. 3?13

31. }51

32. }56

33. }11

}

34. 64?3

35. 4 36. 66 37. 9 38. 3 39. 4 40. 2160 ft2

41. 179.6 in. 42. 750 ft

Answer Key

Lesson 6.2

Practice Level B

1.

} x y

2.

} 6 13

y 1 7

3.

} y

x 1 y

4.

} y

5. true

6. false 7. false 8. true 9. true 10. true

11. 2

12. 10

13. 12

14.

} 25 3

15. B

16. If two ratios are equal, then their reciprocals

are equal. If }a5 5 }b3, then }5a 5 }3b. 17. 1 in. : 15 mi

18. 7 19. $1750 20. 54 ft 21. 2.5 in.

22. $19.03 23. $22.19 24. $14.45 25. $15.72

Answer Key

Lesson 6.3

Practice Level B 1. A > D, B > F, C > E,

} DABF 5 } BFCE 5 } DACE 2. W > M, X > N, Y > O, Z > P, } MWNX 5 } NXOY 5 } OYZP 5 } MWPZ 3. C 4. no 5. yes; BCDA , WXYZ; 4 6. }45 7. 15, 8, 135 8. 40 9. 50 10. }54 11. m 5 11, n 5 4 12. m 5 8 13. XY 5 30 in., WY 5 21 in. 14. 9.75 in. 15. C 16. }25 17. XY 5 3.6, PN 5 15 18. 2.32 19. Area of n XYZ 5 6.96; Area of nMNP 5 43.5; The area of similar triangles differ by the scale factor squared. 20. }35 21. 60 ft 22. 3200 ft2

Answer Key

Lesson 6.4

Practice Level B 1. nDEF 2. DE, BC, FD 3. E 4. x, y 5. }92 6. } 634 7. n ABC , nZYX 8. not similar 9. nJLK , nYXZ 10. nJNK , nJML

11. nPTQ , nPRS 12. nKGH , nKNM 13. D 14. Sample answer: BAE > DEA, DCA > BCE, ADB > EBD 15. Sample answer: nCAB , nCED, n ABD , nEDB 16. no 17. yes 18. (4, 0)

1 2 19. (2, 0) 20. (12, 0) 21. } 376, 0 22. B

23. Both triangles are right triangles and have A in common. Because both triangles have two congruent angles, the triangles are similar. 24. }h5 5 } 168 25. 15 ft

Answer Key

Lesson 6.5

Practice Level B 1. nRST 2. nLMN 3. nJLK , nYXZ; 1 : 4 4. not similar 5. 3 6. nPQT , nPSR;

SSS Similarity Theorem 7. nKNM , nKGH; SAS Similarity Theorem 8. B

9.

n ABC cannot be similar to nDEF because not all corresponding sides are proportional.

10.

n ABC , nDEF; SAS Similarity Theorem 11. nEDC 12. 458 13. 10.5 14. 1358 15. 22 ft 16. 12 ft

Answer Key

Lesson 6.6

Practice Level B

1. GD 2. EB 3. GB 4. GD 5. AE 6. CD

7. yes 8. no 9. no 10. yes 11. 6 12. 8 } 1174

13.

4

} 7 17

14. 8 }25

15. 8

16.

2

} 1 3

}

17. 5?2

18. 21 19. 2 20. 3 }34 21. 1 }14

22?24. Check student's work.

25. a. 600 ft b. yes; If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Answer Key

Lesson 6.7

Practice Level B

1.

2.

3.

4.

5. reduction; x 5 1, y 5 2, z 5 1 6. enlargement; m 5 16, n 5 10 7. enlargement; x 5 3, y 5 2, z 5 3 8. reduction; m 5 2, n 5 1.5 9. dilation 10. reflection 11. dilation 12. translation 13. 8 14. a. 2; }14 b. }12 c. The scale factor in part (b) is the product of the scale factors in part (a).

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