1. Measuring Segments and Angles
GEOMETRY LESSON 1-4
9. 25
10. a. 13
b. RS = 40, ST = 24
11. a. 7
b. RS = 60, ST = 36, RT = 96
12. a. 9
b. 9; 18
13. 33
14. 34
1. 9; 9; yes
2. 9; 6; no
3. 11; 13; no
4. 7; 6; no
5. XY = ZW
6. ZX = WY
7. YZ < XW
8. 24
Pages 29–33  Exercises
XYZ, ZYX, Y
MCP, PCM, C or 1
18. ABC, CBA
19. CBD, DBC
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2. Measuring Segments and Angles
GEOMETRY LESSON 1-4
Drawings may vary.
20.
21.
22.
23.
33. –2.5, 2.5
34. –3.5, 3.5
35. –6, –1, 1, 6
36. a. 78 mi
b. Answers may vary. Sample: measuring with a ruler
37–41. Check students’ work.
24. 60; acute
25. 90; right
; obtuse
27. 34
28. 70
29. Q
30. 6
31. –4
32. 1
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3. Measuring Segments and Angles
GEOMETRY LESSON 1-4
61. 30
63. 40
64. 80
49. Answers may vary. Sample: (15, 0), (–9, 0), (3, 12), (3, –12)
50–54. Check students’ work.
55. about 42°
56–58. Answers may vary. Samples are given.
56. 3:00, 9:00
57. 5:00, 7:00
58. 6:00, 12:32
42. true; AB = 2, CD = 2
43. false; BD = 9, CD = 2
44. false; AC = 9, BD = 9, AD = 11, and
45. true; AC = 9, CD = 2, AD = 11, and = 11
46. 2, 12
48. 65 = /
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4. Measuring Segments and Angles
GEOMETRY LESSON 1-4
71. y = 15; AC = 24,
DC = 12
72. ED = 10, DB = 10,
EB = 20
73. a. Answers may vary. Sample: The two rays come together at a sharp point.
b. Answers may vary. Sample: Molly had an acute pain in her knee.
74. 45, 75, and 165, or 135, 105, and 15
75. 12; m AOC = 82,
m AOB = 32,
m BOC = 50
76. 8; m AOB = 30,
m BOC = 50,
m COD = 30
77. 18; m AOB = 28,
m BOC = 52,
m AOD = 108
78. 7; m AOB = 28,
m BOC = 49,
m AOD = 111
79. 30
67–68. Answers may vary. Samples are given.
QVM and VPN
MNP and MVN
MQV and PNQ
70. a. 19.5
b. 43; 137
c. Answers may vary. Sample: The sum of the measures should be 180.
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5. Measuring Segments and Angles
GEOMETRY LESSON 1-4
87. never
88. never
89. always
90. never
91. always
92. always
93. always
94. never
95. 25, 30
; 15,625
97. 30, 34
80. a–c. Check students’ work.
81. Angle Add. Post.
82. C
83. F
84. D
85. H
86. [2] a.
b. An obtuse measures between 90 and 180 degrees; the least and greatest whole number values are 91 and degrees. Part of ABC is 12°. So the least and greatest measures for DBC are 79 and
[1] one part correct
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