AnswersFall 24 GMS Geometry Concepts and Connections BIntroduction to Circles

Introduction to Circles Answers

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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°
2
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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
3

In circle O, and are diameters. The measure of arc DC is 50°.

Question illustration
A
40°
B
90°
C
140°
D
220°
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 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
6

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°
7

Which is true regarding chords and diameters of circles?

A
Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
B
Both chords and diameters have two endpoints on a circle. Chords must intersect the center of a circle.
C
Chords have two endpoints on a circle. Diameters have one endpoint on a circle and one at the center.
D
Chords have one endpoint on a circle and one at the center. Diameters have two endpoints on a circle.
8

In circle O, AC and BD are diameters.

Question illustration
A
50°
B
80°
C
100°
D
130°
9

In circle O, ST is a diameter.

Question illustration
A
22.0
B
25.0
C
25.4
D
37.2
10

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

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Introduction to Circles Answers — Fall 24 GMS…