Naming Arcs and Central Angles

Name the central angle.

• Minor arc EF

• Major arc EGF

• Central angle EQF

• Central angle EGF

Answer explanation

Angle EQF is a central angle because it has Q , the center of the circle, in the middle of its name. It is corresponds to minor arc EF because they both have the same endpoints: E and F.

Tags

CCSS.HSG.C.A.2

Name the central angle

• Central angle FQD

• Central angle EQD

• Major arc EDF

• Central angle EQF

Answer explanation

Angle EQF is a central angle because it has Q , the center of the circle, in the middle of its name. It is corresponds to major arc EDF because they both have the same endpoints: E and F.

Tags

CCSS.HSG.C.A.2

Name the major arc.

• Major arc ZWY

• Major arc ZWX

• Major arc XYW

• Central angle ZQX

Answer explanation

Arc ZWX is a major arc because it has three letters and measures more than 180º. It corresponds to angle ZQX because they both have the same endpoints: Z and X.

Name the central angle.

• Major arc CED

• Central angle DQE

• Central angle CQD

• Central angle CQE

Answer explanation

Angle CQD is a central angle because it has Q , the center of the circle, in the middle of its name. It is corresponds to major arc CED because they both have the same endpoints: C and D.

If the measure of arc ABC = 210°, what is the measure of arc AC?

• 150°

• 100°

• 210°

• 105°

Tags

CCSS.HSG.C.B.5

In a circle (or congruent circles), the measure of an arc is:

• equal to half of the measure of its corresponding central angle

• equal to the measure of its corresponding central angle

• equal to double of the measure of its corresponding central angle

Name the central angle.

• Central angle HQG

• Minor arc IG

• Central angle IQH

• Central angle IQG

Answer explanation

Angle IQG is a central angle because it has Q , the center of the circle, in the middle of its name. It is corresponds to minor arc IG because they both have the same endpoints: I and G.

Tags

CCSS.HSG.C.A.2

Name the major arc.

• Major arc YXZ

• Major arc YZX

• Major arc ZYX

• Central Angle YQX

Answer explanation

Arc YZX is a major arc because it has three letters and measures more than 180º. It corresponds to angle YQX because they both have the same endpoints: Y and X.

Name the minor arc.

• Minor arc IJ

• Major arc IKJ

• Minor arc IK

• Major arc IQJ

Answer explanation

Arc IJ is a minor arc because it has two letters and measures less than 180º. It is corresponds to angle IQJ because they both have the same endpoints: I and J.

Name the major arc.

• Major arc IQJ

• Major arc IKJ

• Minor arc IJ

• Minor arc IK

Answer explanation

Arc IKJ is a major arc because it has three letters and measures more than 180º. It corresponds to angle IQJ because they both have the same endpoints: I and J.