AnswersFL-1205040-MJ Grade 7 Mathematics B -GFConstructing Triangles

Constructing Triangles — Unit test Answers

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1
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What is the measure of SRT?

Question illustration
A
69 degrees
Option A
B
79 degrees
Option B
C
99 degrees
Option C
D
101 degrees
Option D
2
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What is the value of x in triangle PQR below?

Question illustration
A
86 degrees
Option A
B
94 degrees
Option B
C
132 degrees
Option C
D
142 degrees
Option D
3

Two angles in a triangle measure and . What is the measure of the third angle?

Question illustration
A
35 degrees
Option A
B
55 degrees
Option B
C
145 degrees
Option C
D
215 degrees
Option D
4

What is the measure of ?

Question illustration
A
50 degrees
Option A
B
80 degrees
Option B
C
100 degrees
Option C
D
130 degrees
Option D
5

Which set of three angles could represent the interior angles of a triangle?

A
49 degrees, 59 degrees, 72 degrees
Option A
B
34 degrees, 45 degrees, 11 degrees
Option B
C
24 degrees, 51 degrees, 15 degrees
Option C
D
45 degrees, 70 degrees, 85 degrees
Option D
6

Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction?

A
Tinh’s reduction is incorrect; he should have only divided the side lengths by 3.
B
Tinh’s reduction is incorrect; he should have only divided the angle measures by 3.
C
Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead.
D
Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.
7

Two lengths of a triangle are shown. Which could be the length of ?

Question illustration
A
11 ft
B
13 ft
C
15 ft
D
18 ft
8

Which set of three angles could represent the interior angles of a triangle?

A
19 degrees, 70 degrees, 91 degrees
Option A
B
47 degrees, 12 degrees, 31 degrees
Option B
C
50 degrees, 20 degrees, 20 degrees
Option C
D
25 degrees, 25 degrees, 100 degrees
Option D
9

Kellianne lined up the interior angles of the triangle along line p below. Which statements are true for line p? Check all that apply.

Question illustration
A
It is a straight line with a measure of 360°.
B
It stays the same even if the angles in the triangle change.
C
The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.
D
The line is only straight when one of the angles is a right angle.
E
It represents the sum of the measures of the interior angles of the triangle.
F
The line will not be straight if all the angles in the triangle are acute.
G
It combines the three interior angles of the triangle to form a straight line.
H
It is a straight line with a measure of 180°.
10

The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL?

Question illustration
A
RQ
B
PQ
C
PR
D
LM
11

Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x?

A
One-half
Option A
B
2
C
8
D
12
12

If the measure of angle 2 is and angle 3 is , what is the measure of angle 1 in degrees?

Question illustration
A
88 degrees
Option A
B
89 degrees
Option B
C
90 degrees
Option C
D
91 degrees
Option D
13

The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all that apply.

A
Both angles are acute.
B
The sum of the measures of the two angles is 75°.
C
The sum of the measures of the two angles is 155°.
D
One of the angles is a right angle.
E
The measure of neither angle is more than 75°.
F
The measures of the other angles must be 105° too.
G
The measure of one of the other angles equals 75°.
H
The measure of one of the other angles must be 45°.
14

What is the measure of ?

Question illustration
A
45 degrees
Option A
B
73 degrees
Option B
C
107 degrees
Option C
D
117 degrees
Option D
15

Lines p and q are parallel. What is the measure of angle 2 in degrees?

Question illustration
A
27°
B
33°
C
60°
D
93°
16

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.

A
15 cm
B
24 cm
C
38 cm
D
41 cm
E
53 cm
17

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that apply.

Question illustration
A
Triangle P R S is similar to triangle X Y Z
Option A
B
Triangle R S P is similar to triangle Z X Y
Option B
C
Triangle S R P is similar to triangle X Z Y
Option C
D
Triangle P S R is similar to Triangle Z Y X
Option D
E
Triangle R P S is similar to triangle Z Y X
Option E
F
Triangle S P R is similar to triangle X Z Y
Option F
18

Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed.What is ?

Question illustration
A
35 degrees
Option A
B
40 degrees
Option B
C
55 degrees
Option C
D
70 degrees
Option D
19

Which set of angle measures could be the measures of the interior angles of a triangle?

A
60°, 45°, and 70°
B
30°, 85°, and 25°
C
55°, 90°, and 35°
D
110°, 15°, and 45°
20

Which statement is true about angles 1 and 2?

Question illustration
A
They are adjacent angles.
B
They are complementary angles.
C
They are supplementary angles.
D
They are vertical angles.

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