Unit Test — Unit test Answers

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Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees.

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A
35°
B
75°
C
105°
D
155
Option D
2
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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 20 centimeters and the length of B C is 10.5 centimeters. Angle A B C is x.

Question illustration
A
27.7°
B
31.7°
C
58.3°
D
62.3°
3

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.

Question illustration
A
20°
B
30°
C
40°
D
50°
4

Triangle A B C is shown. The length of A B is 12, the length of B C is 24, and the length of C A is 12 StartRoot 3 EndRoot

Question illustration
A
m∠A = 30°, m∠B = 60°, m∠C = 90°
B
m∠A = 90°, m∠B = 60°, m∠C = 30°
C
m∠A = 60°, m∠B = 90°, m∠C = 30°
D
m∠A = 90°, m∠B = 30°, m∠C = 60°
5

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

Question illustration
A
60 ft
B
ft
Option B
C
120 ft
D
ft
Option D
6

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

Question illustration
A
2 cm
B
5 cm
C
6 cm
D
9 cm
7

Triangles A B C and X Y Z are shown. Angles A B C and X Y Z are right angles. Angles B A C and Y X Z are congruent. The length of A B is 5, the length of A C is 13, and the length of B C is 12.

Question illustration
A
Five-thirteenths
Option A
B
Five-twelfths
Option B
C
Twelve-thirteenths
Option C
D
Twelve-fifths
Option D
8

In parallelogram RSTU, SW = 4 cm, WT = 6 cm, RS = 5 cm, and ST = 7 cm.

Question illustration
A
4 cm
B
5 cm
C
6 cm
D
7 cm
9

The hypotenuse of a 45°-45°-90° triangle measures units.

Question illustration
A
7 units
B
units
Option B
C
14 units
D
units
Option D
10

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

Question illustration
A
16.7°
B
17.5°
C
72.5°
D
73.3°
11

The hypotenuse of a 45°-45°-90° triangle measures in.

Question illustration
A
5 StartRoot 5 EndRoot
Option A
B
5 StartRoot 10 EndRoot
Option B
C
10 StartRoot 5 EndRoot
Option C
D
10 StartRoot 10 EndRoot
Option D
12

Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is 8.9 centimeters. Angle L K J is x.

Question illustration
A
cos−1 = x
Option A
B
cos−1 = x
Option B
C
sin−1 = x
Option C
D
sin−1 = x
Option D
13

Which angle measures are correct? Select three options.

A
m∠X = 55°
B
m∠W = 125°
C
m∠W = 55°
D
m∠Z = 125°
E
m∠Z = 55°
14

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.

A
14.2 feet
B
17.1 feet
C
47.6 feet
D
55.2 feet
15

Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R S is 5 StartRoot 3 EndRoot, the length of S Q is 10, and the length of R Q is 5.

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option A
B
One-half
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartFraction 2 Over 1 EndFraction
Option D

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