Download Geometry Analysis Review

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ID: A
Geometry Analysis Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Classify the triangle by its sides and angles.
3. What are the names of four coplanar points?
.
a. right isosceles
b. obtuse scalene
c. acute scalene
d. acute isosceles
2. What are the names of three collinear points?
a. Points D, A, K, and J are coplanar.
b. Points D, A, B, and J are coplanar.
c. Points L, K, D, and B are coplanar.
d. Points D, A, L, and J are coplanar.
4. Are points C, G, and H collinear or noncollinear?
a. noncollinear
b. collinear
c. impossible to tell
5. Name the ray in the figure.


a. BA
a.
b.
c.
d.
Points
Points
Points
Points



D, J , and K are collinear.
A, J , and B are collinear.
D, J , and B are collinear.
L, J , and K are collinear.
b.
c.
AB
BA


d.
1
AB


10. Complete the statement.
6. What is the name of the ray that is opposite BA ?



a.
BD


b.
BA


c.
CA
DGF  ?
a. DFE
b. DEF
c. EDF
d. FED
11. If mDEF  122, then what are mFEG and
mHEG? The diagram is not to scale.



d. DA
7. If EF  6 and EG  21 , find the value of FG. The
drawing is not to scale.
a. 17
b. 15
c. 14
d. 6
8. If EF  5x  15, FG  53, and EG  143 , find the
value of x. The drawing is not to scale.
a.
b.
c.
d.
a. mFEG  122, mHEG  58
b. mFEG  58, mHEG  132
c. mFEG  68, mHEG  122
d. mFEG  58, mHEG  122
12. If mEOF  26 and mFOG  38, then what is
the measure of EOG? The diagram is not to scale.
x7
x  75
x  15
x  17
9. If Z is the midpoint of RT , what are x, RZ, and RT?
a.
b.
c.
d.
x = 13, RZ = 48, and RT = 24
x = 11, RZ = 16, and RT = 32
x = 13, RZ = 24, and RT = 48
x = 15, RZ = 24, and RT = 48
a.
b.
c.
d.
2
64
12
52
76
16. Name an angle vertical to DGE.
13. How are the two angles related?
a. vertical
b. supplementary
c. complementary
d. adjacent
14. Name an angle supplementary to COD.
a. DGI
b. EGJ
c. JGI
d. EGH
17. Name an angle adjacent to DGE.
a. AOE
b. COA
c. BOD
d. COB
15. Name an angle complementary to COD.
a.
b.
c.
d.
a. FGI
b. EGH
c. HGJ
d. JGI
18. Supplementary angles are two angles whose
measures have a sum of ____.
Complementary angles are two angles whose
measures have a sum of ____.
a. 90; 180
b. 90; 45
c. 180; 360
d. 180; 90
EOD
AOC
EOA
COB
3


19. MO bisects LMN, mLMO  6x  22, and
mNMO  2x  34. Solve for x and find mLMN.
The diagram is not to scale.
23. What is the value of x?
a. 63
b. 53
c. 159
d. 43
24. m3  37. Find m1.
a. x = 13, mLMN  56
b. x = 13, mLMN  112
c. x = 14, mLMN  62
d. x = 14, mLMN  124
20. Find the coordinates of the midpoint of the segment
whose endpoints are H(8, 2) and K(6, 10).
a. (7, 6)
b. (1, 4)
c. (14, 12)
d. (2, 8)
21. Based on the pattern, what are the next two terms of
the sequence?
9, 15, 21, 27, . . .
a. 33, 972
b. 39, 45
c. 162, 972
d. 33, 39
a. 37
b. 143
c. 27
d. 153
25. Find the values of x and y.
22. What is the value of x?
a.
b.
c.
d.
–19
125
19
55
a.
b.
c.
d.
4
x = 15, y = 17
x = 112, y = 68
x = 68, y = 112
x = 17, y = 15
29. What is the relationship between 3 and 6?
Use the diagram to find the following.
a. corresponding angles
b. same-side interior angles
c. alternate interior angles
d. alternate exterior angles
30. Line r is parallel to line t. Find m5. The diagram is
not to scale.
26. Identify a pair of alternate exterior angles.
a. 3 and 4
b. 1 and 2
c. 1 and 6
d. 2 and 6
27. What are three pairs of corresponding angles?
a. angles 1 & 2, 3 & 8, and 4 & 7
b. angles 1 & 7, 8 & 6, and 2 & 4
c. angles 3 & 4, 7 & 8, and 1 & 6
d. angles 1 & 7, 2 & 4, and 6 & 7
28. Which angles are corresponding angles?
a.
b.
c.
d.
a.
b.
c.
d.
8 and 16
7 and 8
4 and 8
none of these
5
45
35
135
145
31. Find the value of k. The diagram is not to scale.
33. Which triangles are congruent by ASA?
a. 17
b. 73
c. 118
d. 107
32. Find the value of x. The diagram is not to scale.
a.
b.
c.
d.
33
162
147
75
a.
b.
c.
d.
6
ABC and TUV
VTU and ABC
VTU and HGF
none
34. Which pair of triangles is congruent by ASA?
a.
35. Name the theorem or postulate that lets you
immediately conclude ABD  CBD.
a. AAS
b. SAS
c. ASA
d. none of these
36. Can you use the SAS Postulate, the AAS Theorem,
or both to prove the triangles congruent?
b.
c.
a. either SAS or AAS
b. SAS only
c. AAS only
d. neither
37. From the information in the diagram, can you prove
FDG  FDE ? Explain.
d.
a.
b.
c.
d.
7
yes, by ASA
yes, by AAA
yes, by SAS
no
38. What is the value of x?
40. Find the length of AB, given that DB is a median of
the triangle and AC = 26.
a. 71°
b. 142°
c. 152°
d. 76°
39. What is the value of x?
a.
b.
c.
d.
a. 13
b. 26
c. 52
d. not enough information
41. Name the smallest angle of ABC. The diagram is
not to scale.
68°
62°
112°
124°
a.
b.
c.
d.
8
Two angles are the same size and smaller than
the third.
B
A
C
42. List the sides in order from shortest to longest. The
diagram is not to scale.
43.
44.
45.
46.
47. Find the sum of the measures of the angles of the
figure.
a. 900
b. 1080
c. 1620
d. 1260
48. What is the sum of the angle measures of a 36-gon?
a. LK , LJ , JK
b. LJ , LK , JK
c. LJ , JK , LK
d. LK , JK , LJ
Which three lengths CANNOT be the lengths of the
sides of a triangle?
a. 23 m, 17 m, 14 m
b. 11 m, 11 m, 12 m
c. 5 m, 7 m, 8 m
d. 21 m, 6 m, 10 m
Which three lengths could be the lengths of the sides
of a triangle?
a. 12 cm, 5 cm, 17 cm
b. 10 cm, 15 cm, 24 cm
c. 9 cm, 22 cm, 11 cm
d. 21 cm, 7 cm, 6 cm
Two sides of a triangle have lengths 6 and 17.
Which expression describes the length of the third
side?
a. at least 11 and less than 23
b. at least 11 and at most 23
c. greater than 11 and at most 23
d. greater than 11 and less than 23
Two sides of a triangle have lengths 7 and 15.
Which inequalities represent the possible lengths for
the third side, x?
a. 7  x  15
b. 8  x  15
c. 8  x  7
d. 8  x  22
a. 6480
b. 6300
c. 6840
d. 6120
49. The sum of the angle measures of a polygon with s
sides is 2520. Find s.
a. 14
b. 16
c. 18
d. 15
50. The Polygon Angle-Sum Theorem states: The sum
of the measures of the angles of an n-gon is ____.
n2
a.
180
b. (n  1)180
180
c.
n1
d. (n  2)180
51. Complete this statement: A polygon with all sides
the same length is said to be ____.
a. regular
b. equilateral
c. equiangular
d. convex
9
56. ABCD is a parallelogram. If mCDA  66, then
mBCD  ? . The diagram is not to scale.
52. What is the measure of one angle in a regular
25-gon?
a. 194.4
b. 4140
c. 165.6
d. 82.8
53. Find mA. The diagram is not to scale.
a. 66
b. 124
c. 114
d. 132
57. For the parallelogram, if m2  5x  28 and
m4  3x  10, find m3. The diagram is not to
scale.
a. 107
b. 117
c. 63
d. 73
54. How many sides does a regular polygon have if each
exterior angle measures 20?
a. 17 sides
b. 20 sides
c. 21 sides
d. 18 sides
55. Complete this statement: The sum of the measures
of the exterior angles of an n-gon, one
at each vertex, is ____.
a. (n – 2)180
b. 360
(n  2)180
c.
n
d. 180n
a. 9
b. 17
c. 173
d. 163
58. ABCD is a parallelogram. If mDAB  115, then
mBCD  ? . The diagram is not to scale.
a.
b.
c.
d.
10
125
65
75
115
59. If mB  mD  39, find mC so that
quadrilateral ABCD is a parallelogram. The diagram
is not to scale.
62. Find the values of a and b.The diagram is not to
scale.
a.
b.
c.
d.
a. 39
b. 282
c. 141
d. 78
60. Find the measure of the numbered angles in the
rhombus. The diagram is not to scale.
 67
 36
 67
 36
ABCD.
63. LM is the midsegment of
AB  46 and DC  125. What is LM?
a. m1  90, m2 = 41, and m3  41
b. m1  90, m2 = 41, and m3  69.5
c. m1  90, m2 = 49, and m3  41
d. m1  90, m2 = 41, and m3  49
61. In rectangle KLMN, KM = 6x  16 and LN = 49.
Find the value of x.
a.
b.
c.
d.
a  144, b
a  144, b
a  113, b
a  113, b
a.
b.
c.
d.
5.5
4.5
33
6.5
11
171
85.5
79
95.5
65. mR  130 and mS  80. Find mT. The diagram
is not to scale.
64. Find m 1 and m 3 in the kite. The diagram is not
to scale.
a.
b.
c.
d.
a.
b.
c.
d.
51, 51
39, 39
39, 51
51, 39
65
70
35
80
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
(Figures are not drawn to scale.)
66. mO  111
a.
b.
c.
d.
67. mP  12
291
69
55.5
222
a.
b.
c.
d.
12
78
39
102
24
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
70. Find the measure of BAC. (The figure is not drawn
to scale.)
68.
a.
b.
c.
d.
13
26
77
38.5
a. 57
b. 28.5
c. 33
d. 114
71. Find x. (The figure is not drawn to scale.)
69. WZ and XR are diameters. Find the measure of
ZWX . (The figure is not drawn to scale.)
a.
b.
c.
d.
262
226
308
52
a.
b.
c.
d.
13
92
44
23
46
72. mR = 22. Find mO. (The figure is not drawn to
scale.)
a.
b.
c.
d.
68
22
158
44
73. mDE  128 and mBC  63. Find mA. (The figure is not drawn to scale.)
a.
32.5
b.
65
c.
95.5
14
d.
96.5
74. Find the value of x for mAB  46 and mCD  25.
(The figure is not drawn to scale.)
76. Find the measure of value of AB for mP  50.
(The figure is not drawn to scale.)
a.
b.
c.
d.
a. 35.5
b. 58.5
c. 71
d. 21
75. Find mD for mB = 53. (The figure is not drawn
to scale.)
a.
b.
c.
d.
148
63.5
127
74
15
260
100
130
25
ID: A
Geometry Analysis Review
Answer Section
MULTIPLE CHOICE
1.
2.
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8.
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36.
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38.
D
D
B
A
A
A
B
C
C
B
D
A
B
B
D
C
B
D
D
A
D
C
B
A
A
D
B
A
C
C
B
A
B
B
A
C
A
A
1
ID: A
39.
40.
41.
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43.
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48.
49.
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51.
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76.
A
A
C
C
D
B
D
D
A
D
B
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B
C
D
D
B
C
D
D
C
D
A
A
B
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B
B
A
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B
B
C
D
A
A
D
C
2