Introduction to Circles Answers

1

Free Preview

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

A

107°

B

180°

C

253°

D

270°

1

Free Preview

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

a

a minor arc

a

a major arc

a

a semicircle

a

a chord

2

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.

A

106°

B

108°

C

148°

D

212°

2

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.

2

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

1

107°

1

180°

2

253°

2

270°

3

In circle O, ST is a diameter.

A

22.0

B

25.0

C

25.4

D

37.2

3

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.

A

17°

B

75°

C

149°

D

211°

3

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.

1

106°

1

108°

1

148°

2

212°

4

In circle O, AC and BD are diameters.

A

50°

B

80°

C

100°

D

130°

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.

A

Option

B

Option

C

CD

E

EF

5

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.

A

m + 80 + 35 = 180

B

m + 80 + 35 = 360

C

m – 80 – 35 = 360

D

m – 80 – 35 = 180

5

In circle O, AC and BD are diameters.

5

50°

8

80°

1

100°

1

130°

6

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.

A

3:1

B

1:3

C

2:1

D

1:2

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.

E

EF

D

DC

C

Option

D

Option

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.

7

In circle O, SU is a diameter.

A

100°

B

108°

C

130°

D

160°

7

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.

3

3:1

1

1:3

2

2:1

1

1:2

8

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.

A

EF

B

DC

C

Line segment A B

D

Line G H

8

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.

m

m + 80 + 35 = 180

m

m + 80 + 35 = 360

m

m – 80 – 35 = 360

m

m – 80 – 35 = 180

9

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.

A

17°

B

75°

C

149°

D

211°

9

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

T

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.

T

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.

T

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

T

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.

10

In circle O, SU is a diameter.

A

100°

B

108°

C

130°

D

160°

10

In circle O, ST is a diameter.

2

22.0

2

25.0

2

25.4

3

37.2

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