ExamView - Ch 8 CP Practice Test.tst

Name: ________________________ Class: ___________________ Date: __________
CP Geometry Practice Test for 8-1 through 8-4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find the length of the missing side. Leave your answer in simplest radical form.
1.
2.
a.
b.
c.
d.
29 m
445 m
7m
203 m
a.
b.
c.
17 m
113 m
113 m
d.
71 m
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
4.
3.
a.
b.
c.
d.
2
12 3
1
2
6 3
1
a.
x = 17, y = 34 3
b.
x = 34, y = 17 3
c.
x = 34 3 , y = 17
d.
x = 17 3 , y = 34
ID: A
Name: ________________________
ID: A
5.
6. Quilt squares are cut on the diagonal to form
triangular quilt pieces. The hypotenuse of the
resulting triangles is 10 inches long. What is the
side length of each piece?
a. 5
b. 5 2
Not drawn to scale
a.
x = 10 3 , y = 30
b.
x = 10, y = 30 3
c.
x = 30 3 , y = 10
d.
x = 30, y = 10 3
d.
3
10 2
a.
b.
c.
d.
52.6
52.9
6.2
6.5
c.
5
Find the value of x. Round to the nearest tenth.
9.
7.
a.
b.
c.
d.
12.5
10
13
9.7
8.
10. Find the angle of elevation of the sun from the
ground to the top of a tree when a tree that is 10
yards tall casts a shadow 14 yards long. Round to
the nearest degree.
a. 54°
b. 36°
c. 46°
d. 44°
a.
b.
c.
d.
12.9
8.5
12.4
8.1
2
Name: ________________________
ID: A
11.
What is the description of ∠2 as it relates to the situation shown?
a.
b.
c.
d.
∠2 is the angle of elevation from the airplane to the radar tower.
∠2 is the angle of depression from the radar tower to the airplane.
∠2 is the angle of elevation from the radar tower to the airplane.
∠2 is the angle of depression from the airplane to the radar tower.
12. Find the missing value to the nearest hundredth.
a.
64.71°
b.
85.41°
c.
4.59°
d.
4.57°
Find the length of the missing side. The triangle is not drawn to scale.
13.
a.
28
b.
100
c.
10
d.
48
c.
83
d.
53
Find the value of x to the nearest degree.
14.
a.
67
b.
23
3
Name: ________________________
ID: A
Find the value of x. Round the length to the nearest tenth.
15.
16.
a.
b.
c.
d.
26.2 m
10.5 m
8.6 m
12.3 m
a.
b.
c.
d.
1134.3 m
1151.8 m
34.7 m
203.1 m
17. A triangle has side lengths of 14 cm, 48 cm, and 50
cm. Classify it as acute, obtuse, or right.
a. right
b. acute
c. obtuse
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
18.
19.
a.
b.
c.
d.
3.3
3.1
24.7
8.5
a.
b.
c.
d.
4
6.2 cm
12.7 cm
15.5 cm
10.9 cm
Name: ________________________
ID: A
23. Wayne used the diagram to compute the distance
from Ferris, to Dunlap, to Butte. How much shorter
is the distance directly from Ferris to Butte than the
distance Wayne found?
20. Find the length of the leg. If your answer is not an
integer, leave it in simplest radical form.
a.
b.
c.
d.
128
8 2
16
2 2
a.
b.
c.
d.
21. Find the missing value to the nearest hundredth.
a.
b.
c.
d.
20 mi
25 mi
10 mi
35 mi
24. To approach the runway, a pilot of a small plane
must begin a 9° descent starting from a height of
1125 feet above the ground. To the nearest tenth of
a mile, how many miles from the runway is the
airplane at the start of this approach?
39°
30°
26.57°
60°
22. A slide 4.1 meters long makes an angle of 35° with
the ground. To the nearest tenth of a meter, how far
above the ground is the top of the slide?
a.
b.
c.
d.
a.
b.
c.
d.
7.1 m
3.4 m
5.0 m
2.4 m
5
1.3 mi
1.4 mi
0.2 mi
7,191.5 mi
Name: ________________________
ID: A
25. Find the value of the variable. If your answer is not
an integer, leave it in simplest radical form.
a.
b.
c.
d.
26. A triangle has sides of lengths 6, 8, and 10. Is it a
right triangle? Explain.
a. yes; 6 2 + 8 2 ≠ 10 2
b. no; 6 2 + 8 2 = 10 2
c. no; 6 2 + 8 2 ≠ 10 2
d. yes; 6 2 + 8 2 = 10 2
27. A triangle has side lengths of 28 in, 4 in, and 31 in.
Classify it as acute, obtuse, or right.
a. obtuse
b. right
c. acute
5 2
5 3
2
5 2
2
5 3
Find the value of x. Round to the nearest degree.
28.
29. Find the value of w and then x. Round lengths to
the nearest tenth and angle measures to the nearest
degree.
a.
b.
c.
d.
55
35
30
34
a.
b.
c.
d.
6
w = 7.7, x = 44
w = 6.4, x = 54
w = 7.7, x = 54
w = 6.4, x = 44
ID: A
CP Geometry Practice Test for 8-1 through 8-4
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
C
D
D
D
B
A
D
C
B
C
C
C
B
C
B
A
C
A
B
D
D
C
B
C
D
A
B
A
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
L3
L3
L2
L3
L3
L3
L3
L3
L3
L3
L2
L3
L2
L4
L3
L3
L3
L2
L3
L3
L3
L3
L3
L3
L3
L3
L3
L3
L4
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
8-1 The Pythagorean Theorem and Its Converse
8-1 The Pythagorean Theorem and Its Converse
8-2 Special Right Triangles
8-2 Special Right Triangles
8-2 Special Right Triangles
8-2 Special Right Triangles
8-3 Trigonometry
8-3 Trigonometry
8-3 Trigonometry
8-4 Angles of Elevation and Depression
8-4 Angles of Elevation and Depression
8-3 Trigonometry
8-1 The Pythagorean Theorem and Its Converse
8-3 Trigonometry
8-4 Angles of Elevation and Depression
8-4 Angles of Elevation and Depression
8-1 The Pythagorean Theorem and Its Converse
8-3 Trigonometry
8-3 Trigonometry
8-2 Special Right Triangles
8-3 Trigonometry
8-3 Trigonometry
8-1 The Pythagorean Theorem and Its Converse
8-4 Angles of Elevation and Depression
8-2 Special Right Triangles
8-1 The Pythagorean Theorem and Its Converse
8-1 The Pythagorean Theorem and Its Converse
8-3 Trigonometry
8-3 Trigonometry
1