Exploring Central and Inscribed Angles

What is the measure of a central angle equal to?

• None of the above

• The same as the measure of its intercepted arc

• Half the measure of its intercepted arc

• Twice the measure of its intercepted arc

Tags

CCSS.HSG.C.A.2

If a central angle's arc measures 144 degrees, what is the angle's measure?

• 288 degrees

• 360 degrees

• 72 degrees

• 144 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

If the major arc measures 216 degrees, what was the measure of the minor arc?

• 216 degrees

• 72 degrees

• 360 degrees

• 144 degrees

What is the measure of an inscribed angle compared to its intercepted arc?

• One-fourth the arc's measure

• Half the arc's measure

• Twice the arc's measure

• Equal to the arc's measure

Tags

CCSS.HSG.C.A.2

If an inscribed angle intercepts an arc of 100 degrees, what is the angle's measure?

• 200 degrees

• 25 degrees

• 50 degrees

• 100 degrees

Tags

CCSS.HSG.C.A.2

An angle's measure is half of its intercepted arc's measure. This angle is:

• An inscribed angle

• A central angle

• A supplementary angle

• An exterior angle

Tags

CCSS.HSG.C.A.2

How can you identify an inscribed angle?

• None of the above

• Its vertex is outside the circle

• Its vertex is on the circle

• Its vertex is at the center of the circle

Tags

CCSS.HSG.C.A.2

Which of the following is true for two inscribed angles that intercept the same arc?

• They are congruent

• They are complementary

• They are not related

• They are supplementary

Tags

CCSS.HSG.C.A.2

What is the measure of an angle inscribed in a semicircle?

• 45 degrees

• 90 degrees

• 360 degrees

• 180 degrees

Tags

CCSS.HSG.C.A.2

Opposite angles of a quadrilateral inscribed in a circle are:

• Congruent

• Supplementary

• Complementary

• Independent