Circumference — Unit test Answers

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Line l and line m are straight lines. Which statements are true regarding the angles in the figure? Select two options.

Question illustration
A
Measure of angle a = measure of angle b
Option A
B
Measure of angle a = measure of angle c
Option B
C
Measure of angle a + measure of angle b = measure of angle c
Option C
D
Measure of angle a + measure of angle b = 90 degrees
Option D
E
Measure of angle a + measure of angle b + measure of angle c = 124 degrees
Option E
3

Which statement is true about two angles that are complementary?

A
The angles share a common ray.
B
The sum of the measures of the two angles is 90°.
C
The angles are opposite each other.
D
The sum of the measures of the two angles is 180°.
5

If is 155°, what is ?

Question illustration
A
25°
B
35°
C
155°
D
180°
7

Which statement is true about the circumference of a circle?

A
The circumference is the measurement around the circle.
B
The circumference is the measurement of the radius.
C
The circumference is the measurement of the diameter.
D
The circumference is double the radius.
9

What is the value of x in the diagram?

Question illustration
A
52 degrees
Option A
B
64 degrees
Option B
C
128 degrees
Option C
D
138 degrees
Option D
11

Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Eun’s plan?

A
Joo-Eun cannot draw a triangle with these side lengths.
B
Joo-Eun can only draw one unique triangle with these side lengths.
C
Joo-Eun can draw exactly two triangles with these side lengths.
D
Joo-Eun can draw more than one triangle with these side lengths.
12

What is the value of k in the linear pair below?

Question illustration
A
14 degrees
Option A
B
76 degrees
Option B
C
104 degrees
Option C
D
180 degrees
Option D
14

Kasia wants to create a triangle with angles measuring , , and . She says that only one unique triangle is possible given these angle measures. Which statement about Kasia’s claim is true?

Question illustration
A
Kasia is incorrect. Since the angles sum to and no side lengths are given, multiple triangles can be drawn with these angle measures.
Option A
B
Kasia is incorrect. No triangle can be made with these angle measures because they do not sum to .
Option B
C
Kasia is correct. Since the angles sum to and no measurements are given, only one unique triangle is possible.
Option C
D
Kasia is correct. Since the angles do not sum to , only one unique triangle is possible.
Option D

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