Angle Relationships and 3-Dimensional Figure Test
Name:____________________________________________________ Date:______________ Period:________________
Use the diagram on the right for Exercises 1–3.
1. What is the measure of PVU?
A. 117°
B. 27°
C. 63°
D. Not Here
2. Which describes the relationship between QVP and QVR?
A. complementary angles
B. adjacent angles
C. supplementary angles
D. vertical angles
3. Which information would allow you to identify RVS and SVT as complementary angles?
A. Line PS is perpendicular to line RU.
B. RVS and QVR are adjacent angles.
C. RVS and QVP are vertical angles.
D. mSVT  27°
x
4.
5.
2x+5
What is the value of x?
What is the value of x?
A. 28°
B. 58°
A. 28°
B. 55°
C. 34°
D. 70°
C. 37°
D. 70°
6.
7.
What is the value of x?
8.
What is the value of x?
A. 77°
B. 42°
A. 225°
B. 46°
C. 84°
D. 87°
C. 9°
D. Not Here
8. An isosceles triangle has base angles that each measure 35°. Which equation can be used to find z, the
measure of the third angle of this isosceles triangle in degrees?
A.
70 + 2𝑧 = 180
B.
70 + 𝑧 = 180
C.
35 + 2𝑧 = 180
D.
35 + 𝑧 = 180
Use the diagram to the right for 10 and 11.
9. What is the measure of QPU?
A. 70°
B. 110°
C. 20°
D. Not Here
10. What is the relationship between TPU and QPU?
i.
ii.
iii.
iv.
adjacent angles
complementary angles
supplementary angles
vertical angles
A i and ii
B i and iii
C iii and iv
D iii only
11. Jeremy wants to make a storage unit shaped like a rectangular prism for his giant foam dice cubes. Jeremy
has 5 cubes in his collection. If each cube has a side length of 8 inches, how big will Jeremy’s storage unit
be in cubic inches?
A. 512 𝑖𝑛3
B. 40 𝑖𝑛3
C. 2560 𝑖𝑛3
D. 1000 𝑖𝑛3
12. The net of a triangular prism and its dimensions are shown below.
What is the total lateral surface area in square centimeters?
A. 80 square centimeters
B. 140 square centimeters
C. 135 square centimeters
D. 207 square centimeters
13. A rectangular pyramid has a base that is 16 inches long and 8 inches wide. The Volume of the pyramid
is 640 cubic inches. What is the height of the pyramid?
A. 81,920 inches
B. 15 inches
C. 5 inches
D. 10 inches
14.The net of a triangular prism and its dimensions are shown below.
10 m
What is the total surface area of the prism in square meters?
Record your answer and fill in the bubbles on your answer document. Be sure to use
correct place value.
15. Mark wants to build a ramp in the shape of a triangular prism out of solid wood. The
ramp is drawn below with its dimensions.
20 ft
15 ft
Based on the dimensions given in the picture, how many cubic feet of wood does Mark
need to construct the ramp?
Record your answer and fill in the bubbles on your answer document. Be sure to use
correct place value.