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Inscribed Angles Worksheet

A Grade 11 Math worksheet covering inscribed angles, their properties, and related theorems.

Grade 11 Math GeometryInscribed Angles
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Includes

Multiple Choice2 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.C.A.2

Topics

mathgeometryinscribed anglescirclestheorems
7 sections · Free to use · Printable
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Inscribed Angles Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. An inscribed angle is formed by two chords in a circle that share an endpoint. How does the measure of an inscribed angle relate to the measure of its intercepted arc?

a

It is equal to the intercepted arc.

b

It is twice the intercepted arc.

c

It is half the intercepted arc.

d

There is no direct relationship.

2. In the circle below, if the measure of arc AB is 100 degrees, what is the measure of the inscribed angle ACB?

ABC

3. An angle inscribed in a semicircle is always a   angle.

4. If two inscribed angles intercept the same arc, then they are  .

5. The measure of a central angle is half the measure of its intercepted arc.

T

True

F

False

6. A quadrilateral ABCD is inscribed in a circle. If angle A measures 85 degrees, what is the measure of angle C? Explain your reasoning.

ABCD