Inscribed Angles Worksheet

A Grade 10 math worksheet focusing on understanding and applying properties of inscribed angles in circles.

Grade 10 Math GeometryInscribed Angles

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

GeometryCirclesInscribed AnglesGrade 10 Math

7 sections · Free to use · Printable

Inscribed Angles Practice

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. An inscribed angle is an angle formed by two chords in a circle that have a common endpoint on the of the circle.

radius

center

circumference

diameter

2. The measure of an inscribed angle is the measure of its intercepted arc.

equal to

twice

half

three times

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

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

5. In the circle below, if the measure of arc AB is 80 degrees, what is the measure of inscribed angle ACB?

6. If an inscribed angle measures 35 degrees, what is the measure of its intercepted arc?

7. All angles inscribed in the same arc are congruent.

True

False

8. A quadrilateral inscribed in a circle is called a cyclic quadrilateral.

True

False

9. In the circle with center O, points A, B, C, and D lie on the circumference. If ∠ADC = 70° and arc AB = 60°, find the measure of ∠ABC and arc BC.