Inscribed Angle Theorem Worksheet

Explore and apply the Inscribed Angle Theorem with various geometry problems for Grade 11 students.

Grade 11 Math GeometryGeometry 2D ShapesCirclesInscribed Angle Theorem

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

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

Topics

geometrycirclesinscribed angletheoremsgrade 11

8 sections · Free to use · Printable

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Inscribed Angle Theorem

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Read each question carefully and apply the Inscribed Angle Theorem to find the missing values or choose the correct option. Show all your work for short answer questions.

1. State the Inscribed Angle Theorem in your own words.

2. An inscribed angle subtends an arc of 80 degrees. What is the measure of the inscribed angle?

20 degrees

40 degrees

80 degrees

160 degrees

3. If an inscribed angle measures 35 degrees, the measure of the intercepted arc is degrees.

4. In the circle below, angle ADC is an inscribed angle. If the measure of arc AC is 120 degrees, what is the measure of angle ADC?

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

True

False

6. A quadrilateral ABCD is inscribed in a circle. If angle A = 85 degrees and angle B = 70 degrees, find the measures of angle C and angle D.