Inscribed Angles Worksheet

Explore and practice inscribed angles, their properties, and theorems with this comprehensive worksheet for Grade 9 geometry students.

Grade 9 Math GeometryInscribed Angles

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

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

Topics

geometryinscribed anglescirclesanglesgrade 9

7 sections · Free to use · Printable

Inscribed Angles: Properties and Theorems

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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 whose vertex is on a circle and whose sides contain of the circle.

radii

chords

tangents

diameters

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

equal to

twice

half

one-third

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

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

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

6. An inscribed quadrilateral has vertices A, B, C, and D on a circle. If angle A measures 70 degrees, what is the measure of angle C?

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

True

False

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

True

False

9. In the circle with center O, points A, B, C, and D are on the circle. If m∠AOB = 120° and m∠BOC = 80°, find the measure of ∠ADC.