AnswersFall 24 GMS Geometry Concepts and Connections BIntroduction to Circles

Introduction to Circles Answers

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1
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How are the semicircle and the diameter of a circle related?

A
The length of the diameter and the length of semicircle are the same.
B
The degree measure of the diameter and the degree measure of the semicircle are the same.
C
The angle measure of the diameter is twice the angle measure of the semicircle.
D
The angle measure of the diameter is half the angle measure of the semicircle.
2
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Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees.

Question illustration
A
106°
B
108°
C
148°
D
212°
3

In circle O, and are diameters. Arc ED measures 17°.

Question illustration
A
107°
B
180°
C
253°
D
270°
4

Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.

Question illustration
A
EF
B
DC
C
Line segment A B
Option C
D
Line G H
Option D
5

Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees.

Question illustration
A
17°
B
75°
C
149°
D
211°
6

Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.

Question illustration
A
Line G H
Option A
B
Line segment A B
Option B
C
CD
D
EF
7

In circle O, SU is a diameter.

Question illustration
A
100°
B
108°
C
130°
D
160°
8

Circle B is shown. Line segments C B, D B, and E B are radii and they form 3 congruent angles.

Question illustration
A
a minor arc
B
a major arc
C
a semicircle
D
a chord
9

Circle D is shown. Line segments E D, F D, and G D are radii. Angle E D F is 80 degrees and angle F D G is 35 degrees. Point H is on the other side of the circle.

Question illustration
A
m + 80 + 35 = 180
Option A
B
m + 80 + 35 = 360
Option B
C
m – 80 – 35 = 360
Option C
D
m – 80 – 35 = 180
Option D
10

Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.

Question illustration
A
3:1
B
1:3
C
2:1
D
1:2

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