AnswersOC27 GEO-1206310-S2-Degele-VOL7006PUnit Test

Unit Test — Unit test Answers

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The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm.What is the smallest possible whole-number value of x?

A
6
B
7
C
8
D
9
22
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Consider triangle DEF. The legs have a length of 36 units each.

Question illustration
A
18 units
B
units
Option B
C
36 units
D
units
Option D
23

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.

Question illustration
A
6.5 ft
B
ft
Option B
C
13 ft
D
ft
Option D
24

Triangle J K L is shown. Angle J K L is a right angle. The length of J K is 12 and the length of K L is 5.

Question illustration
A
Five-thirteenths
Option A
B
Five-twelfths
Option B
C
Twelve-thirteenths
Option C
D
Twelve-fifths
Option D
25

A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.Rounded to the nearest tenth, what is the difference between the possible values of x?

3
3.0 units
3
3.4 units
6
6.4 units
8
8.0 units
26

Triangle V U W is shown. The length of side W V is 6 centimeters, the length of side W U is 3 StartRoot 3 EndRoot centimeters, and the length of side U V is 3 centimeters.

Question illustration
A
m∠V = 30°, m∠U = 60°, m∠W = 90°
B
m∠V = 90°, m∠U = 60°, m∠W = 30°
C
m∠V = 30°, m∠U = 90°, m∠W = 60°
D
m∠V = 60°, m∠U = 90°, m∠W = 30°
27

A right triangle is shown. The length of the hypotenuse is 4 centimeters and the lengths of the other 2 sides are congruent.

Question illustration
A
2 cm
B
cm
Option B
C
4 cm
D
cm
Option D
28

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

Question illustration
A
11 units
B
units
Option B
C
22 units
D
units
Option D
29

The diagonal of rectangle ABCD measures 2 inches in length.

Question illustration
A
1 inch
B
inches
Option B
C
4 inches
D
inches
Option D
30

Which triangle is a 30°-60°-90° triangle?

A
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
Option A
B
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
Option B
C
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
Option C
D
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
Option D
31

What is the length of ? Round to the nearest tenth.

Question illustration
A
6.8 cm
B
7.5 cm
C
14.5 cm
D
17.7 cm
32

The equation can be used to determine the length of line segment AC.

Question illustration
A
11.8 cm
B
12.9 cm
C
14.9 cm
D
15.3 cm
33

Consider triangle QRS. The legs each have a length of 10 units.

Question illustration
A
5 units
B
units
Option B
C
10 units
D
units
Option D
34

Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 5 StartRoot 2 EndRoot and the lengths of sides D E and E F are 5.

Question illustration
A
sin(F).
B
sin(D).
C
tan(F).
D
cos(D).
35

Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.What is the greatest possible whole-number length of the unknown side?

A
8 inches
B
9 inches
C
12 inches
D
13 inches
36

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 10.3 centimeters, the length of C B is 10 centimeters, and the length of A C is 2.4 centimeters. Angle A B C is x.

Question illustration
A
tan(x) =
Option A
B
tan(x) =
Option B
C
sin(x) =
Option C
D
sin(x) =
Option D
37

Triangle J K M is shown. Angle J M K is a right angle. The length of hypotenuse K J is a, the length of J M is b, and the length of K M is c.

Question illustration
A
a is the hypotenuse, b is adjacent, c is opposite
B
a is the hypotenuse, b is opposite, c is adjacent
C
a is adjacent, b is opposite, c is the hypotenuse
D
a is opposite, b is the hypotenuse, c is adjacent
38

Which relationship in the triangle must be true?

Question illustration
A
sin(B) = sin(A)
B
sin(B) = cos(90 – B)
C
cos(B) = sin(180 – B)
D
cos(B) = cos(A)
39

The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

A
4.0 cm
B
4.1 cm
C
5.6 cm
D
5.7 cm
40

Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown.

Question illustration
A
a rectangle, because angle C is a right angle
B
a rectangle, because angle C and angle X are congruent
C
a quadrilateral, because angle C and angle X are acute
D
a quadrilateral, because angle C and angle X are obtuse

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