AnswersEHS New Credit Topics in GeometryFigures in the Coordinate Plane (Sec 9-1)

Introduction to Circles Answers

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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
2
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Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown.

Question illustration
A
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
B
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
C
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
D
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
3

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.
4

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

Question illustration
A
107°
B
180°
C
253°
D
270°
5

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°
6

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

Question illustration
A
40°
B
90°
C
140°
D
220°
7

Segments AC and BD are diameters of circle O.

Question illustration
A
107°
B
146°
C
253°
D
287°
8

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.
9

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
10

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

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