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Central and Inscribed Angles

Central and Inscribed Angles

Assessment

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSG.C.A.2

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a central angle?

Back

An angle in a circle with its vertex at the center of the circle.

Tags

CCSS.HSG.C.A.2

2.

FLASHCARD QUESTION

Front

What is an inscribed angle?

Back

An angle in a circle with its vertex on the circle itself and whose sides are chords of the circle.

3.

FLASHCARD QUESTION

Front

What is the relationship between a central angle and an inscribed angle that subtend the same arc?

Back

The measure of the inscribed angle is half the measure of the central angle.

Tags

CCSS.HSG.C.A.2

4.

FLASHCARD QUESTION

Front

If the measure of a central angle is 100°100^\text{°} , what is the measure of the inscribed angle subtending the same arc?

Back

50°50^\text{°} .

Tags

CCSS.HSG.C.A.2

5.

FLASHCARD QUESTION

Front

What is the formula to find the measure of an inscribed angle?

Back

The measure of an inscribed angle is given by: \( m\angle = \frac{1}{2} m\angle_{central} \) where \( m\angle_{central} \) is the measure of the central angle.

Tags

CCSS.HSG.C.A.2

6.

FLASHCARD QUESTION

Front

If angle K is an inscribed angle and measures 50°50^\text{°} , what is the measure of the central angle subtending the same arc?

Back

100°100^\text{°} .

Tags

CCSS.HSG.C.A.2

7.

FLASHCARD QUESTION

Front

What is the measure of an inscribed angle if the arc it subtends measures 80°80^\text{°} ?

Back

40°40^\text{°} .

Tags

CCSS.HSG.C.A.2

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