Name: 
 

Geometry Semester  2 Test Practice


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Convert each scale factor to a decimal.
 

 1. 
mc001-1.jpg
a.
0.26
b.
1.3
c.
0.52
d.
0.24
 
 
Convert each scale factor to a fraction.
 

 2. 
0.4
a.
1mc002-1.jpg
b.
1mc002-2.jpg
c.
mc002-3.jpg
d.
mc002-4.jpg
 
 
Scale a rectangle that has length 9 inches and width 17 inches by each scale factor. Determine the dimensions of the scaled rectangle.
 

 3. 
6
a.
54 in. by 102 in.
c.
9 in. by 17 in.
b.
1.5 in. by 2.8 in.
d.
15 in. by 23 in.
 

 4. 
70%
a.
6.3 in. by 11.9 in.
c.
9 in. by 17 in.
b.
12.9 in. by 24.3 in.
d.
9.7 in. by 17.7 in.
 

 5. 
mc005-1.jpg
a.
6.75 in. by 12.75 in.
c.
9 in. by 17 in.
b.
12 in. by 22.7 in.
d.
9.75 in. by 17.75 in.
 
 
Find the scale factor you can apply to figure A to get figure B.
 

 6. 
mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-3.jpg
b.
4
d.
mc006-4.jpg
 
 
Two rectangles are scaled copies of each other. The ratio of the length of the scaled rectangle to the length of the original rectange is nar005-1.jpg. The width of the original rectangle is given. Find the width of the scaled rectangle.
 

 7. 
10
a.
2
c.
10
b.
50
d.
5
 
 
The length of a side of a scaled square is given. The scale factor is 3.
Find the length of a side of the original square.
 

 8. 
3
a.
1
c.
3
b.
9
d.
27
 

 9. 
A blueprint for a house has a scale of 1 : 35. A wall in the blueprint is 3 in. What is the length of the actual wall?
a.
105 feet
b.
8.75 feet
c.
8.75 in.
d.
1,260 feet
 
 
From the given description, decide whether the original figure or the
dilated figure is closer to the center of dilation.
 

 10. 
The center of dilation is outside the original figure. You dilate the
original figure by the scale factor 6.
a.
original figure
b.
dilated figure
 

 11. 
The center of dilation is inside the original figure. You dilate the
original figure by the scale factor mc011-1.jpg.
a.
original figure
b.
dilated figure
 
 
Use the figure for the following exercises. nar008-1.jpg.
nar008-2.jpg
 

 12. 
When AD = 8, DB = 32, and AE = 10, what is EC?
a.
40
b.
5
c.
20
d.
40
 

 13. 
When AE = 6, EC = 24, and CB = 32, what is ED?
a.
8
b.
5
c.
20
d.
30
 

 14. 
When AD = 5, CB = 24, and DE = 8, what is AB?
a.
20
b.
8
c.
5
d.
15
 

 15. 
When AD = 6, AE = 9, and AB = 21, what is AC?
a.
31.5
b.
15
c.
25
d.
21
 

 16. 
When DE = 3, BC = 7.5, and AC = 10.5, what is EC?
a.
7.5
b.
3
c.
10.5
d.
7.5
 

 17. 
Find the indicated lenth. mc017-1.jpg
mc017-2.jpg
a.
40
b.
24
c.
50
d.
9
 

 18. 
Find the indicated lenth. mc018-1.jpg
mc018-2.jpg
a.
8
b.
24
c.
9
d.
10
 

 19. 
Use the given lengths to determine whether mc019-1.jpg.
mc019-2.jpg
a.
yes
b.
no
 

 20. 
Use the given lengths to determine whether mc020-1.jpg.
mc020-2.jpg
a.
no
b.
yes
 

 21. 
You increase the width of a rectangle by the factor 4. You decrease the length by the factor 6. What is the ratio of the area of the new rectangle to the area of the original rectangle?
a.
mc021-1.jpg
c.
24
b.
mc021-2.jpg
d.
6
 

 22. 
You increase the height of a triangle by the factor 5. The length of the base stays the same. What is the ratio of the area of the new triangle to the area of the original triangle? Explain.
a.
5
c.
10
b.
2.5
d.
1
 

 23. 
You increase the lengths of the sides of a cube by the factor 2. What is the ratio of the volume of the new cube to that of the original?
a.
8
c.
2
b.
4
d.
mc023-1.jpg
 

 24. 
Find the value of x. The diagram is not to scale.
mc024-1.jpg
a.
35
b.
66
c.
72
d.
70
 

 25. 
The folding chair has different settings that change the angles formed by its parts. Suppose mc025-1.jpg is 26 and mc025-2.jpg is 70. Find mc025-3.jpg. The diagram is not to scale.
mc025-4.jpg
a.
96
b.
106
c.
116
d.
86
 

 26. 
Find the value of the variable. The diagram is not to scale.
mc026-1.jpg
a.
66
b.
19
c.
29
d.
43
 

 27. 
Find the values of x, y, and z. The diagram is not to scale.
mc027-1.jpg
a.
mc027-2.jpg
c.
mc027-4.jpg
b.
mc027-3.jpg
d.
mc027-5.jpg
 

 28. 
Find the length of the midsegment. The diagram is not to scale.
mc028-1.jpg
a.
24
b.
0
c.
42
d.
84
 
 
Complete each statement. nar009-1.jpg
nar009-2.jpg
 

 29. 
mc029-1.jpg
a.
E
c.
D
b.
B
d.
F
 

 30. 
mc030-1.jpg
a.
EFD
c.
FED
b.
FDE
d.
DFE
 

 31. 
The scale on a map is 1 cm : 6 km. If two cities are 13 cm apart on the map, what is the actual distance between the cities?
a.
13 km
b.
468 km
c.
2.17 km
d.
78 km
 

 32. 
A scale model of a car is 10 in. long. The actual car is 15 ft long. What is the scale of the model?
a.
1 in. : 1.5 in.
c.
1 in. : 24 in.
b.
1 in. : 18 ft
d.
1 in. : 18 in.
 
 
The figures are similar. Give the ratio of the perimeters of the first figure to the second. The figures are not drawn to scale.
 

 33. 
mc033-1.jpg
a.
mc033-2.jpg
b.
mc033-3.jpg
c.
mc033-4.jpg
d.
mc033-5.jpg
 

 34. 
mc034-1.jpg
a.
5 : 6
c.
6 : 6
b.
6 : 7
d.
5 : 7
 

 35. 
The widths of two similar rectangles are 4 yd and 6 yd. What is the ratio of the perimeters? Of the areas?
a.
3 : 4
c.
2 : 3
b.
2 : 4
d.
3 : 3
 

 36. 
The area of a regular octagon is 35 cmmc036-1.jpg. What is the area of a regular octagon with sides three times as large?
a.
315 cmmc036-2.jpg
b.
225 cmmc036-3.jpg
c.
175 cmmc036-4.jpg
d.
105 cmmc036-5.jpg
 

 37. 
The radii of two circles are 2 and 8. What is the ratio of the areas?
a.
1 : 16
c.
1 : 8
b.
1 : 4
d.
1 : 2
 

 38. 
Find the area of a regular hexagon with a side length 3 and apothem 7.
a.
63
c.
10.5
b.
126
d.
21
 

 39. 
Find the area of a regular pentagon with a side length 6 and apothem 10.
a.
150
c.
30
b.
300
d.
60
 

 40. 
Find the area of a regular octagon with a side length 3 and apothem 7.
a.
84
c.
10.5
b.
168
d.
21
 

 41. 
A square with side lengths of 6 cm circumscribes a circle. The area of the circle is 28.27 cm2. Find the circumference of the circle.
a.
18.85 cm
c.
2.36 cm
b.
9.42 cm
d.
169.65 cm
 
 
Find the area of the circle. Leave your answer in terms of nar011-1.jpg.
 

 42. 
mc042-1.jpg
a.
256mc042-2.jpg m2
b.
8mc042-3.jpg m2
c.
512mc042-4.jpg m2
d.
4096mc042-5.jpg m2
 

 43. 
mc043-1.jpg
a.
100mc043-2.jpg m2
b.
400mc043-3.jpg m2
c.
200mc043-4.jpg m2
d.
43mc043-5.jpg m2
 

 44. 
mc044-1.jpg ft.
a.
100mc044-2.jpg ft.mc044-3.jpg
b.
400mc044-4.jpg ft.mc044-5.jpg
c.
20mc044-6.jpg ft.mc044-7.jpg
d.
25mc044-8.jpg ft.mc044-9.jpg
 

 45. 
Find the area of the figure to the nearest tenth.
mc045-1.jpg
a.
74.2 in.2
b.
8.2 in.2
c.
148.4 in.2
d.
23.6 in.2
 

 46. 
Find the area of a sector with a central angle of 110° and a diameter of 6 cm. Round to the nearest tenth.
a.
8.6 cm2
b.
3.7 cm2
c.
34.5 cm2
d.
1.4 cm2
 
 
Find the circumference. Leave your answer in terms of nar012-1.jpg.
 

 47. 
mc047-1.jpg
a.
mc047-2.jpg cm
b.
mc047-3.jpg cm
c.
mc047-4.jpg cm
d.
mc047-5.jpg cm
 

 48. 
mc048-1.jpg
a.
mc048-2.jpg in.
b.
mc048-3.jpg in.
c.
mc048-4.jpg in.
d.
mc048-5.jpg in.
 

 49. 
The circumference of a circle is 36mc049-1.jpg cm. Find the diameter, the radius, and the length of an arc of 200°.
a.
36 cm; 18 cm; 20mc049-2.jpg cm
c.
18 cm; 36 cm; 10mc049-4.jpg cm
b.
72 cm; 18 cm; 190mc049-3.jpg cm
d.
36 cm; 72 cm; 10mc049-5.jpg cm
 

 50. 
A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 15 cm. What is the area of the wheel? Use 3.14 for mc050-1.jpg.
a.
35.8 cm2
b.
11.8 cm2
c.
17.9 cm2
d.
71.7 cm2
 

 51. 
Find the length of arc XPY. Leave your answer in terms of mc051-1.jpg.
mc051-2.jpg
a.
24mc051-3.jpg m
b.
4mc051-4.jpg m
c.
720mc051-5.jpg m
d.
12mc051-6.jpg m
 
 
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
 

 52. 
mc052-1.jpg
a.
13
b.
26
c.
77
d.
38.5
 

 53. 
Circle O, mc053-1.jpg, mc053-2.jpg, FG = 40, RS = 37, OP = 19
mc053-3.jpg
a.
27.2
b.
18.5
c.
19
d.
20.5
 

 54. 
Circle O, mc054-1.jpg, mc054-2.jpg, mc054-3.jpg, MN = 6 feet
mc054-4.jpg
a.
12 ft
b.
36 ft
c.
6 ft
d.
3 ft
 

 55. 
mc055-1.jpg
a.
92
b.
44
c.
23
d.
46
 

 56. 
mc056-1.jpg
a.
18.8
b.
120
c.
5.3
d.
12
 

 57. 
The figure consists of a chord, a secant and a tangent to the circle. Find the value of x. Round to the nearest hundredth, if necessary.
mc057-1.jpg
a.
15.75
b.
9
c.
5.14
d.
28
 

 58. 
AB = 20, BC = 6, and CD = 8
mc058-1.jpg
a.
18.5
b.
11.5
c.
19.5
d.
15
 

 59. 
Find the value of x. mc059-1.jpg 111
mc059-2.jpg
a.
249
b.
69
c.
55.5
d.
222
 

 60. 
Find the value of x. mc060-1.jpg 12
mc060-2.jpg
a.
78
b.
39
c.
102
d.
24
 

 61. 
mc061-1.jpg and mc061-2.jpg are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)
mc061-3.jpg
a.
226
b.
275
c.
39
d.
321
 

 62. 
Find the measure of mc062-1.jpgBAC. (The figure is not drawn to scale.)
mc062-2.jpg
a.
57
b.
28.5
c.
33
d.
114
 

 63. 
Find mmc063-1.jpgBAC. (The figure is not drawn to scale.)
mc063-2.jpg
a.
114
b.
57
c.
132
d.
33
 

 64. 
m(arc DE) = 96 and m(arc BC) = 67. Find mmc064-1.jpgA. (The figure is not drawn to scale.)
mc064-2.jpg
a.
14.5
b.
62.5
c.
81.5
d.
29
 

 65. 
Find mmc065-1.jpgD for mmc065-2.jpgB = 50. (The figure is not drawn to scale.)
mc065-3.jpg
a.
80
b.
130
c.
65
d.
160
 

 66. 
mmc066-1.jpgS = 36, m(arc RS) = 118, and mc066-2.jpg is tangent to the circle at R. Find mmc066-3.jpgU.
(The figure is not drawn to scale.)
mc066-4.jpg
a.
23
b.
82
c.
46
d.
41
 
 
In the figure, nar014-1.jpg and nar014-2.jpg are tangent to circle O and nar014-3.jpg bisects nar014-4.jpg. The figure is not drawn to scale.

nar014-5.jpg
 

 67. 
For mc067-1.jpg = 46, find mc067-2.jpg.
a.
23
b.
90
c.
46
d.
68
 

 68. 
For mc068-1.jpg = 50, find mc068-2.jpg.
a.
40
b.
50
c.
65
d.
140
 

 69. 
Find AB. Round to the nearest tenth if necessary.
mc069-1.jpg
a.
1.1
b.
11.5
c.
3.5
d.
4.3
 

 70. 
Find the probability that a point chosen at random will lie in the shaded area.
mc070-1.jpg
a.
0.32
b.
0.62
c.
0.94
d.
0.02
 

 71. 
Lenny’s favorite radio station has this schedule: news 13 min, commercials 2 min, music 45 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that the news will be on?
a.
mc071-1.jpg
b.
mc071-2.jpg
c.
mc071-3.jpg
d.
mc071-4.jpg
 

 72. 
A spinner is divided into 10 equal sections numbered from 1 to 10. You spin the spinner once. Find P(not even).
a.
mc072-1.jpg
b.
mc072-2.jpg
c.
mc072-3.jpg
d.
mc072-4.jpg
 
 
Find the geometric mean of the pair of numbers.
 

 73. 
175 and 7
a.
55
b.
45
c.
35
d.
40
 

 74. 
5 and 6
a.
30
b.
mc074-1.jpg
c.
mc074-2.jpg
d.
mc074-3.jpg
 
 
Find the arithmetic mean of the pair of numbers.
 

 75. 
225 and 4
a.
229
b.
30
c.
900
d.
114.5
 

 76. 
9 and 10
a.
mc076-1.jpg
b.
9.5
c.
90
d.
19
 
 
Find the length of the missing segment.
 

 77. 
mc077-1.jpg
a.
12
b.
27
c.
mc077-2.jpg
d.
mc077-3.jpg
 

 78. 
mc078-1.jpg
a.
20
b.
mc078-2.jpg
c.
mc078-3.jpg
d.
mc078-4.jpg
 

 79. 
mc079-1.jpg
a.
mc079-2.jpg
b.
168
c.
mc079-3.jpg
d.
34
 

 80. 
Find the area of an equilateral triangle with side 13 in.
a.
73.2 in.2
c.
39 in.2
b.
6.2 in.2
d.
292.7 in.2
 

 81. 
Find the area of an isosceles triangle with sides: 14 mm, 11 mm, 11 mm.
a.
59.4 mm2
c.
36 mm2
b.
6 mm2
d.
237.6 mm2
 

 82. 
The area of a square garden is 50 m2. How long is the diagonal?
a.
25 m
b.
100 m
c.
mc082-1.jpg m
d.
10 m
 
 
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
 

 83. 
mc083-1.jpg
a.
mc083-2.jpg
b.
mc083-3.jpg
c.
mc083-4.jpg
d.
mc083-5.jpg
 

 84. 
mc084-1.jpg
Not drawn to scale
a.
x = mc084-2.jpg, y = mc084-3.jpg
c.
x = mc084-5.jpg, y = 10
b.
x = 10, y = mc084-4.jpg
d.
x = 30, y = mc084-6.jpg
 

 85. 
mc085-1.jpg
a.
x = 17, y = mc085-2.jpg
c.
x = mc085-4.jpg, y = 17
b.
x = 34, y = mc085-3.jpg
d.
x = mc085-5.jpg, y = 34
 

 86. 
mc086-1.jpg
a.
mc086-2.jpg
b.
mc086-3.jpg
c.
mc086-4.jpg
d.
mc086-5.jpg
 

 87. 
The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the perimeter.
a.
4 + 12mc087-1.jpg
c.
mc087-5.jpg + mc087-6.jpgmc087-7.jpg
b.
mc087-2.jpg + mc087-3.jpgmc087-4.jpg
d.
12 + 4mc087-8.jpg
 

 88. 
Use mc088-1.jpg to find the value of cos A.
mc088-2.jpg
a.
mc088-3.jpg
b.
mc088-4.jpg
c.
mc088-5.jpg
d.
mc088-6.jpg
 

 89. 
Write the ratios for sin A and cos A.
mc089-1.jpg
a.
mc089-2.jpg
c.
mc089-4.jpg
b.
mc089-3.jpg
d.
mc089-5.jpg
 

 90. 
For mc090-1.jpg, find the sine, cosine, and tangent of mc090-2.jpg.
mc090-3.jpg
a.
sin P = mc090-4.jpg, cos P = mc090-5.jpg, tan P = mc090-6.jpg
c.
sin P = mc090-10.jpg, cos P = mc090-11.jpg, tan P = mc090-12.jpg
b.
sin P = mc090-7.jpg, cos P = mc090-8.jpg, tan P = mc090-9.jpg
d.
sin P = mc090-13.jpg, cos P = mc090-14.jpg, tan P = mc090-15.jpg
 

 91. 
Write the tangent ratios for mc091-1.jpg and mc091-2.jpg.
mc091-3.jpg
a.
mc091-4.jpg
c.
mc091-6.jpg
b.
mc091-5.jpg
d.
mc091-7.jpg
 

 92. 
Write the tangent ratios for mc092-1.jpg and mc092-2.jpg.
mc092-3.jpg
a.
mc092-4.jpg
c.
mc092-6.jpg
b.
mc092-5.jpg
d.
mc092-7.jpg
 
 
Find the value of x. Round to the nearest tenth.
 

 93. 
mc093-1.jpg
a.
10.3
b.
31.4
c.
10.7
d.
31.8
 

 94. 
mc094-1.jpg
a.
52.6
b.
52.9
c.
6.2
d.
6.5
 

 95. 
mc095-1.jpg
a.
12.5
b.
10
c.
13
d.
9.7
 

 96. 
mc096-1.jpg
a.
12.9
b.
8.5
c.
12.4
d.
8.1
 

 97. 
mc097-1.jpg
a.
26.2 m
b.
10.5 m
c.
8.6 m
d.
12.3 m
 

 98. 
mc098-1.jpg
a.
7.6 ft
b.
10.6 ft
c.
15.3 ft
d.
7.9 ft
 

 99. 
mc099-1.jpg
a.
7.1 cm
b.
13.1 cm
c.
9.2 cm
d.
8.4 cm
 

 100. 
A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 573 feet and 536 feet. The angle between the sides is 58mc100-1.jpg To the nearest unit, find the area of the park in square yards.
a.
32,557 ydmc100-2.jpg
b.
14,470 ydmc100-3.jpg
c.
28,940 ydmc100-4.jpg
d.
43,410 ydmc100-5.jpg
 
 
Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
 

 101. 
mc101-1.jpg
a.
126.9 cmmc101-2.jpg
b.
63.4 cmmc101-3.jpg
c.
23.1 cmmc101-4.jpg
d.
185.5 cmmc101-5.jpg
 

 102. 
Use the Law of Cosines. Find b to the nearest tenth.
mc102-1.jpg
a.
102.2
b.
62.4
c.
132.9
d.
63.2
 

 103. 
Use the Law of Cosines. Find mc103-1.jpg to the nearest tenth of a degree.
mc103-2.jpg
a.
33.9mc103-3.jpg
b.
57.7mc103-4.jpg
c.
46.3mc103-5.jpg
d.
85.7mc103-6.jpg
 

 104. 
In mc104-1.jpg, j = 9 in., k = 5 in., and mc104-2.jpg = 43°. Find mc104-3.jpg.
a.
28°
b.
59°
c.
32°
d.
75°
 
 
Find the volume of the solid. Round to the nearest tenth if necessary.
 

 105. 
mc105-1.jpg
a.
226.1 m3
b.
37.7 m3
c.
113 m3
d.
150.7 m3
 

 106. 
mc106-1.jpg
a.
24 in.3
b.
96 in.3
c.
48 in.3
d.
16 in.3
 

 107. 
mc107-1.jpg
a.
3052.1 cm3
b.
1716.8 cm3
c.
339.1 cm3
d.
9156.2 cm3
 

 108. 
mc108-1.jpg
a.
565 mmc108-2.jpg
b.
1,188 mmc108-3.jpg
c.
1,018 mmc108-4.jpg
d.
1,696 mmc108-5.jpg
 

 109. 
mc109-1.jpg
Not drawn to scale
a.
mc109-2.jpg
b.
mc109-3.jpg
c.
mc109-4.jpg
d.
mc109-5.jpg
 

 110. 
mc110-1.jpg
Not drawn to scale
a.
mc110-2.jpg
b.
mc110-3.jpg
c.
mc110-4.jpg
d.
mc110-5.jpg
 

 111. 
mc111-1.jpg
Not drawn to scale
a.
mc111-2.jpg
b.
mc111-3.jpg
c.
mc111-4.jpg
d.
mc111-5.jpg
 

 112. 
mc112-1.jpg
Not drawn to scale
a.
mc112-2.jpg
b.
mc112-3.jpg
c.
mc112-4.jpg
d.
mc112-5.jpg
 

 113. 
mc113-1.jpg
a.
180 ftmc113-2.jpg
b.
60 ftmc113-3.jpg
c.
120 ftmc113-4.jpg
d.
135 ftmc113-5.jpg
 

 114. 
mc114-1.jpg
a.
1,767 cmmc114-2.jpg
b.
442 cmmc114-3.jpg
c.
236 cmmc114-4.jpg
d.
14,137 cmmc114-5.jpg
 

 115. 
A cylinder has a volume of 19 cm3. If the radius is doubled, what is the volume of the new cylinder?
a.
304 cm3
b.
38 cm3
c.
76 cm3
d.
152 cm3
 

 116. 
A large aquarium is 8 m by 6 m by 5 m. What is the difference in the volume of the aquarium if its dimensions are doubled?
a.
240 m3
b.
1680 m3
c.
360 m3
d.
480 m3
 

 117. 
A sphere has radius 5 cm. Find the volume to the nearest hundredth.
a.
130.9 cm3
b.
104.72 cm3
c.
314.16 cm3
d.
523.6 cm3
 

 118. 
A rectangular prism has a volume of 120 cm3. Its length is 5 cm and its width is 8 cm. What is the prism’s height?
a.
40 cm
c.
24 cm
b.
3 cm
d.
15 cm
 

 119. 
The volume of the cone is 425 mmc119-1.jpg. Find the radius of the base of the cone to the nearest whole unit.
mc119-2.jpg
a.
2 m
b.
23 m
c.
16 m
d.
9 m
 
 
Find the surface area of the sphere. Use 3.14 for nar022-1.jpg and round to the nearest tenth.
 

 120. 
mc120-1.jpg
a.
1,808.6 in.mc120-2.jpg
b.
452.2 in.mc120-3.jpg
c.
150.7 in.mc120-4.jpg
d.
602.9 in.mc120-5.jpg
 

 121. 
mc121-1.jpg
a.
4,534.2 mmc121-2.jpg
b.
283.4 mmc121-3.jpg
c.
1,133.5 mmc121-4.jpg
d.
377.8 mmc121-5.jpg
 

 122. 
Find the image of O(–1, –3) after two reflections, first in the line y = –2, and then in the line x = –2.
a.
(–3, –1)
b.
(–3, –5)
c.
(–1, –3)
d.
(–2, –2)
 

 123. 
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)
 

 124. 
M(9, 8) is the midpoint of mc124-1.jpg The coordinates of S are (10, 10). What are the coordinates of R?
a.
(9.5, 9)
b.
(11, 12)
c.
(18, 16)
d.
(8, 6)
 

 125. 
Find the midpoint of mc125-1.jpg.
mc125-2.jpg
a.
(3, 1)
b.
(1, 1)
c.
(10, 4)
d.
(4, 4)
 

 126. 
Find the distance between (3, 4) and (4, –6). If necessary, round to the nearest tenth.
a.
10 units
b.
101 units
c.
7.3 units
d.
53 units
 

 127. 
The Frostburg-Truth bus travels from Frostburg Mall through the City Center to Sojourner Truth Park. The mall is 3 miles west and 2 miles south of the City Center. Truth Park is 4 miles east and 5 miles north of the Center. How far is it from Truth Park to the Mall to the nearest tenth of a mile?
a.
9.9 miles
b.
3.6 miles
c.
3.2 miles
d.
6.4 miles
 

 128. 
Find the perimeter of mc128-1.jpg with vertices A(0, –6), B(4, –6), and C(0, –3).
mc128-2.jpg
a.
32 units
b.
14 units
c.
12 units
d.
7 units
 
 
Are the graphs of the lines in the pair parallel? Explain.
 

 129. 
y = mc129-1.jpgx + 8
–2x + 12y = –11
a.
Yes, since the slope are the same and the y-intercepts are the same.
b.
No, since the y-intercepts are different.
c.
Yes, since the slope are the same and the y-intercepts are different.
d.
No, since the slopes are different.
 

 130. 
y = 5x + 6
–18x + 3y = –54
a.
No, since the slopes are different.
b.
Yes, since the slopes are the same and the y-intercepts are different.
c.
No, since the y-intercepts are different.
d.
Yes, since the slope are the same and the y-intercepts are the same.
 
 
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
 

 131. 
4x – 12y = 2; (10, –1)
a.
y = mc131-1.jpgx + 29
c.
y = mc131-3.jpgx + 29
b.
y = mc131-2.jpgx + 29
d.
y = mc131-4.jpgx + 7
 

 132. 
Find the slope of a line that is perpendicular to mc132-1.jpg.
P(–5, –3), Q(–2, 8)
a.
mc132-2.jpg
b.
mc132-3.jpg
c.
mc132-4.jpg
d.
mc132-5.jpg
 

 133. 
Describe the location of the point in coordinate space.
(–7, 6, –4)
a.
From the origin, move 7 units back, 6 units left, and 4 units down.
b.
From the origin, move 7 units back, 6 units right, and 4 units down.
c.
From the origin, move 7 units back, 6 units right, and 4 units up.
d.
From the origin, move 7 units forward, 6 units right, and 4 units down.
 

 134. 
A cube is sitting at the origin with side length 10. What is the length of a diagonal of the cube?
a.
17.3
c.
10
b.
14.1
d.
5.5
 

 135. 
A rectangular prism has side lengths 3, 6, and 10. What is the length of a diagonal of the prism?
a.
12
c.
13.4
b.
5.2
d.
19
 

 136. 
If A = (–1, 2) and B = (2, –1), find the head of a vector that starts at the origin, has the same direction as mc136-1.jpg and is the same length as mc136-2.jpg.
a.
(3, –3)
c.
(3, 1)
b.
(1, –3)
d.
(1, 1)
 

 137. 
If A = (–1, 5) and B = (3, 3), find the head of a vector that starts at the origin, has the same direction as mc137-1.jpg and is 2 times as long as mc137-2.jpg.
a.
(8, –4)
c.
(2, 8)
b.
(4, –2)
d.
(4, 16)
 

 138. 
If A = (–4, –5) and B = (3, –3), find the head of a vector that starts at (–1, 1), has the same direction as mc138-1.jpg and is 6 times as long as mc138-2.jpg.
a.
(41, 13)
c.
(–2, –7)
b.
(42, 12)
d.
(–7, –47)
 

 139. 
If A = (–4, 1) and B = (4, 4), find the head of a vector that starts at (1, –5), has the same direction as mc139-1.jpg and is the same length as mc139-2.jpg.
a.
(9, –2)
c.
(0, 5)
b.
(8, 3)
d.
(1, 0)
 

 140. 
Givent that G = (1, –5) and H = (–1, –4), find a point that is collinear to G and H.
a.
(9, –9)
c.
(1, –14)
b.
(1, 31)
d.
(1, –9)
 
 
Determine if nar025-1.jpg and nar025-2.jpg are parallel in the same direction, parallel in the opposite direction, or not parallel.
 

 141. 
A = (–3, –4), B = (4, –1), C = (3, –2), D = (9, 8)
a.
not parallel
c.
parallel in the opposite direction
b.
parallel in the same direction
 

 142. 
Find the coordinates of a point B, given A = (–4, –1), so that mc142-1.jpg.
a.
(–1, 4)
c.
(–1, 1)
b.
(4, 1)
d.
(4, 4)
 



 
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