Download Geometry Ch 8 Practice Test Answer Section

Geometry Ch 8 Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find the geometric mean between 20 and 5.
a. 100
____
2. Find x in
3. Find x in
4. Find x in
a. 25
____
b. 10
c.
d. 64
b. 8
c.
d.
b. 25
c. 25
d. 100
c. 18.4
d. 47.1
ABC.
5. Find x to the nearest tenth.
a. 7.3
____
d. 10
STU.
a. 2
____
c. 12.5
ABC.
a. 8
____
b. 50
b. 17.3
6. Which is the angle of depression in the figure at the right?
a.
____
AOT
c.
TOB
d.
BTO
with A(2, 3) and B(–4, 6).
b.
c.
d.
b. 11
c. 9
d. 2
b.
c.
d. 8
c. 8.1
d. 17.3
c. 10
d. 2
c.
d. 2
8. Find y.
a. 12
____
AOB
7. Find the component form of
a.
____
b.
9. Find x.
a. 4
____ 10. Find x to the nearest tenth.
a. 5.8
b. 5.9
____ 11. Find the geometric mean between 9 and 11.
a. 3
____ 12. In
b. 2
PQR, RS = 5 and QS = 8. Find PS.
a. 3
____ 13. Find x.
b. 6.5
a. 5.5
b.
c.
d.
____ 14. If a 24-foot ladder makes a 58 angle with the ground, how many feet up a wall will it reach? Round your
answer to the nearest tenth.
a. 38.4 ft
b. 20.8 ft
c. 20.4 ft
d. 12.7 ft
____ 15. Find the angle of elevation of the sun if a building 125 feet tall casts a shadow 196 feet long. Round to the
nearest degree.
a. 64
b. 50
c. 40
____ 16. The length of a diagonal of a square is
a. 576 millimeters
b. 96 2 millimeters
d. 33
millimeters. Find the perimeter of the square.
c. 96 millimeters
d. 1152 millimeters
____ 17. Find x and y.
x
60°
3
30°
y
a.
c.
b.
d.
____ 18. Dante is standing at horizontal ground level with the base of the Empire State Building in New York City.
The angle formed by the ground and the line segment from his position to the top of the building is 48.4°. The
height of the Empire State Building is 1472 feet. Find his distance from the Empire State Building to the
nearest foot.
a. 1307 ft
c. 2217 ft
b. 7.65 ft
d. 1968 ft
Find each measure using the given measures of
____ 19. If
47.1,
a. 45.8
b. 0.8
____ 20. In
59.6, and
52.2, find
. Round measures to the nearest tenth.
.
c. 56.7
d. 43.6
, given the following measures, find the measure of the missing side to the nearest tenth..
,
,
a. b  6.7
c. b  14.5
b. b  394
d. b  45.3
____ 21. Which set of measures could represent the lengths of the sides of a right triangle?
a. 2, 3, 4
____ 22. Find y in
c. 8, 10, 12
d. 9, 12, 15
b. 15
c. 15
d. 30
XYZ.
a. 7.5
____ 23. Find the magnitude of
a.
b. 7, 11, 14
with A(3, 4) and B(–1, 7).
b. 5
c.
d. 25
____ 24. If a 20-foot ladder makes a 65 angle with the ground, how many feet up a wall will it reach? Round your
answer to the nearest tenth.
a. 8.5 ft
b. 10 ft
c. 18.1 ft
d. 42.9 ft
b. 8.9
c. 10.4
d. 10.8
c. 33
d. 29
____ 25. Find x.
a. 8.0
____ 26. Find x to the nearest degree.
a. 57
b. 55
Short Answer
27. Find x to the nearest degree.
28.
29. Find x to the nearest tenth.
30. Find x to the nearest degree.
Geometry Ch 8 Practice Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
A
B
C
C
A
C
C
C
B
A
D
D
C
D
C
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
To find the leg of a 45-45-90 triangle when the hypotenuse is given, divide the hypotenuse by
find the perimeter of the square, find the sum of all the sides.
. To
Feedback
A
B
C
D
This is the area, not the perimeter of the square.
Is the number given the length of a side or the diagonal?
Correct!
Before the perimeter can be found, first find the length of each side.
PTS: 1
DIF: Average
REF: Lesson 8-3
OBJ: 8-3.1 Use properties of 45°-45°-90° triangles.
NAT: NCTM GM.1 | NCTM GM.1d
STA: G.4.B
TOP: Use properties of 45°-45°-90° triangles.
KEY: Triangles | 45-45-90 Triangles
17. ANS: D
The shorter leg is half the length of the hypotenuse. The longer leg is
times the length of the shorter leg.
Feedback
A
B
C
D
Switch the x and y values.
How do you find the length of the side opposite the 60angle?
How do you find the length of the side opposite the 30 angle?
Correct!
PTS: 1
DIF: Average
REF: Lesson 8-3
OBJ: 8-3.2 Use properties of 30°-60°-90° triangles.
NAT: NCTM GM.1 | NCTM GM.1d
STA: G.4.B
TOP: Use properties of 30°-60°-90° triangles.
KEY: Triangles | 30-60-90 Triangles
18. ANS: A
Draw a picture of the situation. Determine which trigonometric ratio should be used to solve. Substitute the
numbers given. Solve for the answer.
Feedback
A
B
C
D
Correct!
Check the trigonometric ratio.
Which trigonometric ratio should be used?
Which trigonometric ratio should be used?
PTS: 1
DIF: Basic
REF: Lesson 8-4
OBJ: 8-4.2 Solve problems using trigonometric ratios.
NAT: NCTM GM.1 | NCTM GM.1d
STA: G.4.B
TOP: Solve problems using trigonometric ratios.
KEY: Trigonometric Ratios | Solve Problems
19. ANS: C
Substitute the given values into the Law of Sines. Cross multiply. Divide each side by the length of side l.
Feedback
A
B
C
D
Check the Law of Sines to determine the setup of the ratios.
Remember to take the inverse of sine to solve for the angle.
Correct!
Remember to divide both sides by the length of side l.
PTS: 1
DIF: Average
REF: Lesson 8-6
OBJ: 8-6.1 Use the Law of Sines to solve triangles.
NAT: NCTM GM.1 | NCTM GM.1d
STA: G.4.B
TOP: Use the Law of Sines to solve triangles.
KEY: Law of Sines | Solve Triangles
20. ANS: A
Substitute the given values into the Law of Cosines. Simplify the equation. Find the square root of both sides.
Feedback
A
B
C
D
21.
22.
23.
24.
25.
26.
Correct!
Check the equation for the Law of Cosines.
Should sine or cosine be used to solve the problem?
Remember to find the square root of this number.
PTS:
OBJ:
STA:
KEY:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
DIF: Average
REF: Lesson 8-6
8-6.3 Use the Law of Cosines to solve triangles.
NAT: NCTM GM.1 | NCTM GM.1d
G.4.B
TOP: Use the Law of Cosines to solve triangles.
Law of Cosines | Solve Triangles
D
PTS: 1
C
PTS: 1
B
PTS: 1
C
PTS: 1
B
PTS: 1
C
PTS: 1
SHORT ANSWER
27. ANS:
11
PTS: 1
28. ANS:
or 10
PTS: 1
29. ANS:
43.2
PTS: 1
30. ANS:
20
PTS: 1