Exploring Central and Inscribed Angles of a Circle

Exploring Central and Inscribed Angles of a Circle

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

CCSS
HSG.C.A.2, HSG.C.B.5, 4.MD.C.5B

+1

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSG.C.A.2
,
CCSS.HSG.C.B.5
,
CCSS.4.MD.C.5B
CCSS.HSG.CO.A.1
,
This video tutorial covers central and inscribed angles in circles, explaining their definitions and properties. It discusses arcs, including minor, major, and semicircles, and introduces the arc addition postulate. The tutorial provides examples and problem-solving techniques for calculating angle measures and arc lengths, emphasizing the relationship between inscribed angles and intercepted arcs.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a central angle in a circle?

An angle formed by two tangents to the circle

An angle with its vertex at the center of the circle

An angle with its vertex on the circle

An angle with its vertex outside the circle

Tags

CCSS.HSG.C.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the measure of a minor arc determined?

It is 360 degrees minus the measure of its central angle

It is half the measure of its central angle

It is equal to the measure of its central angle

It is double the measure of its central angle

Tags

CCSS.HSG.C.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of a semicircle?

180 degrees

270 degrees

90 degrees

360 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the arc addition postulate, what is true about adjacent arcs?

Their measures add up to the measure of the entire circle

Their measures subtract to give the central angle

Their measures add up to 180 degrees

Their measures are equal

Tags

CCSS.HSG.C.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a central angle measures 33 degrees, what is the measure of its corresponding arc?

132 degrees

99 degrees

66 degrees

33 degrees

Tags

CCSS.HSG.C.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of an inscribed angle that intercepts a semicircle?

90 degrees

135 degrees

45 degrees

180 degrees

Tags

CCSS.HSG.C.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle measures 54 degrees, what is the measure of its intercepted arc?

108 degrees

54 degrees

216 degrees

27 degrees

Tags

CCSS.HSG.C.A.2

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