GEOMETRY 222—FINAL EXAM REVIEW ANSWER KEY
1.
B
2.
61˚
3.
AB= 3√13
4.
8.3
5.
a.) ACUTE b.) RIGHT c.) OBTUSE
6.
a=12; b  33.9; c  11.3
7.
8.
14
9.
x= 3 3 ; y =6
10. x=13; y= 13 3
11. 127.3 ft.
12.
8
2
or 4 2
13. sinP= 7/25; cos P = 24/25; tan P = 7/24
14. 48.7 ft.
15. 16.52 ft.
16. .9205
17. 1.86 m
GEOMETRY 222—FINAL EXAM REVIEW ANSWER KEY
18. 10.04
19. 15.85
20. 40.96 ft.
21. A
22. 77.3˚
23. 22.6˚
24. 22˚
25. 210˚
26. 238˚
27. 140˚
28.
8
9
29. 59.7 ft.
30. 12.25𝜋 m2
31.
49
cm 2
5
32. B
̂ = 80° ; mD  40
33. 𝑚𝐵𝐶
34. a.) 70˚
b.) 80˚
GEOMETRY 222—FINAL EXAM REVIEW ANSWER KEY
35. B
36. 98
37. 5.6
38. A chord is a segment that whose 2 endpoints are on the circle.
39.
A diameter is a segment that passes through the center of the circle , and whose
endpoints lie on the circle.
A secant is a segment, line or ray that intersects the circle in 2 points:
40.
A tangent line to a circle is a line that intersects the circle exactly once:
41.
No; if ST was tangent to circle R, it would create a 90˚ angle with the radius, RS . The
42. segment lengths do not satisfy the Pythagorean Theorem, therefore ST is not
perpendicular to RS , and the line is not tangent.
43.
x  3 5 or 6.7
44. RS = 7; Chords that are equidistant from the center of a circle are congruent.
45. Yes; A diameter that is perpendicular to a chord also bisects the chord.
46. x = 15; AB = AC = 50
47. 41˚
48. 70˚
GEOMETRY 222—FINAL EXAM REVIEW ANSWER KEY
49. 56˚
50. x=4
51.
x  42   y  32  49
52.
x  52   y  22  25 ;
radius = 5 blocks
53. Center (4, -3); radius = 5
54. C
55. A’ (-6, 2); B’ (0, 4)
56. P’ (-2, 11); Q’ (-2, 7); R’ (-5, 9)
57. A’ (-7, -2), B’ (-2, -2), C’ (-6, -7)
58. A’ (-1, -3), B’(3, -4), C’(2, 1)
59. 3
60. W’ (5, 3), X’ (3, 1), Y’(5, -1), Z’(7, 1)
61. A’ (-12, 4), B’ (16, -12), C’ (8, 12), D’ (-4, 16)
62.
mAOB  20
63
7.8
64. (7, 6)
65.
x = 9, y = 13, side lengths: 11,11,20,20
GEOMETRY 222—FINAL EXAM REVIEW ANSWER KEY
Parallelogram; BC=AD=9, CD=AB=4.5, so both pairs of opposite sides are congruent;
66. Slope of BC and AD = 0, slope of CD and AB = 2 so both pairs of opposite sides are also
parallel.
67.
mBCD  114
68.
m3  163
69. AM = 4
70. x=10; y = 7
71. A
72. x=4; DF = EG = 15
73. a = 144˚; b = 67˚
74.
m1  25 ; m2  90 ; m3  65
75.
m1  m2  m3  m4  40
76. D
77. C
78. Both square and rectangle would be acceptable answers.
79. LA= 504 m2; SA = 519 m2
80. LA=86 cm2; SA = 206 cm2
2
2
81. LA= 210 cm ; SA = 308 cm
82. LA=60 ft2; SA = 85 ft2
GEOMETRY 222—FINAL EXAM REVIEW ANSWER KEY
83. LA = 45 cm 2 ; SA = 54 cm 2
84. 21 m
85. V = 17 m3
86. $71.36
87. V = 490  in3
88. V = 438 mm3
89. V =480 cm3
90. V = 829.4 m3
91. SA = 256  cm3
92. V = 1767 cm3
93. 7/10 or .7 or 70%
94. 5/8 or .625 or 62.5%