Exploring Central and Inscribed Angles

What is measured in degrees in the context of circle geometry discussed?

• Arc length

• Radius of the circle

• Arc measure

• Diameter of the circle

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What defines a central angle in a circle?

• It is always 90 degrees

• Its vertex is at the center of the circle

• Its vertex is outside the circle

• Its sides are not radii

Tags

CCSS.HSG.C.A.2

How is the measure of an inscribed angle related to its intercepted arc?

• It is double the arc's measure

• It is the same as the arc's measure

• It is half the arc's measure

• There is no relationship

Tags

CCSS.HSG.C.A.2

If an arc is labeled 80 degrees, what is the measure of the central angle intercepting it?

• 120 degrees

• 80 degrees

• 40 degrees

• 160 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

In a circle, if one angle measures 34 degrees, what is the measure of its corresponding arc?

• 102 degrees

• 68 degrees

• 34 degrees

• 17 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of an inscribed angle if its intercepted arc is 76 degrees?

• 152 degrees

• 19 degrees

• 76 degrees

• 38 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of an inscribed angle that subtends a semicircle?

• 60 degrees

• 90 degrees

• 45 degrees

• 180 degrees

Tags

CCSS.HSG.C.A.2

What is the relationship between opposite angles in a quadrilateral inscribed in a circle?

• They are equal

• They are complementary

• They are supplementary

• They are both acute angles

If two opposite angles in a quadrilateral inscribed in a circle are 74 degrees and 106 degrees, what is the measure of the other two angles?

• 100 degrees and 80 degrees

• 74 degrees and 106 degrees

• 90 degrees each

• 106 degrees and 74 degrees

Tags

CCSS.HSG.C.A.3

If an arc measures 114 degrees, what is the measure of the inscribed angle intercepting it?

• 29 degrees

• 57 degrees

• 114 degrees

• 228 degrees

Tags

CCSS.HSG.C.A.2