1. Similarity in Right Triangles
GEOMETRY LESSON 8-4
Pages Exercises
9. s
10. r
11. c
12. a; a
13. h
14. b
15. 9
16. 20
1. 6
4. 12
6. 25
17. 10
19. 12
20. 60
21. a. 18 mi
b. 24 mi
22. KNL; JNK
8-4

2. Similarity in Right Triangles
GEOMETRY LESSON 8-4
23. a. 4 cm b.
c. Answers may vary. Sample: Draw a 10-cm segment. 2 cm from one endpoint, construct a of length 4 cm. Connect to form a .
24. a. 
b. They are =. Explanations may vary. Sample: The altitude and hyp. segments are sides of two isosc
25. (10, 6), (–2, 6) s
27. 14
28. 4
30. 1
8-4

3. Similarity in Right Triangles
GEOMETRY LESSON 8-4
34. x = 12; y = ; z =
35. x = ; y = 12; z =
36. x = 4; y = ; z =
38. a. Given
b. Corollary 2 of Thm. 8-3 12 5 9 16 20 3 25
38. (continued)
c. Cross-Product Prop.
d. Addition Prop. of =
e. Dist. Prop.
f. Segment Add. Post.
g. Subst.
39. about 6.5 m cm 60 13
144
41. h = 5, a = , h1 = , h2 =
= , 2 = , h = 13, a = 6
= 2 = , h = 12, h2 = 6
= , h = , h1 = 3, h2 =
= 5, a = , h1 = , h2 =
8-4

4. Similarity in Right Triangles
GEOMETRY LESSON 8-4
53.
54.
55.
56.
57. D
58. G
59. C
60. H
49. a.
Given: rt. ABC with alt. CD;
Prove: AC • BC = AB • CD
b. Yes; AC • BC = 2 X area ABC and AB • CD = 2 X area ABC.
50. 3
51. 4
4 7 3 16 7 12 5 60 13
120 17
420 29
= , h = , a = 7, h2 =
= , 2 = , h1 = 4, h2 = 20
= 6, h = 12, a = , h2 = 9
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5. Similarity in Right Triangles
GEOMETRY LESSON 8-4
68. x = 6; y = 9
69. x = 3; y = 4
61. [2] a. Solve for x by making a proport. from similar rt. .
The proportion
is = Now
cross multiply and solve for x. b
[1] incorrect proportion OR incorrect x value
62. a. RNM ~ PNQ
b. AA ~ Post.
63. a. PRQ ~ ACB
b. SSS ~ Thm.
64. not similar
66. 10
67. x = 5; y = 8 s x 13 9
8-4