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Inscribed Angle Theorem Worksheet

Understand and apply the Inscribed Angle Theorem to solve problems involving circles and angles.

Grade 9 Math GeometryGeometry 2D ShapesCirclesInscribed Angle Theorem
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

GeometryCirclesInscribed Angle TheoremAnglesGrade 9 Math
7 sections · Free to use · Printable
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Inscribed Angle Theorem

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

1. What is the relationship between an inscribed angle and its intercepted arc?

a

The inscribed angle is equal to the intercepted arc.

b

The inscribed angle is half the measure of the intercepted arc.

c

The inscribed angle is twice the measure of the intercepted arc.

d

There is no direct relationship.

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

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

4. In the circle below, if the measure of arc AC is 80 degrees, what is the measure of angle ABC?

ACB

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

T

True

F

False

6. A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. If one angle of a cyclic quadrilateral measures 75 degrees, what is the measure of the opposite angle?