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Angles and Arcs in Circles Quiz

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In a circle, what is the measure of the central angle that corresponds to an arc with a measure of 60 degrees?

60 degrees

Explanation

Central angle measure equals arc measure.

If the measure of an arc in a circle is 90 degrees, what is the measure of its central angle?

90 degrees

Explanation

Central angle measure equals arc measure.

In a circle, if the measure of an arc is 120 degrees, what is the measure of the central angle that intercepts this arc?

120 degrees

Explanation

Central angle measure equals arc measure.

If the measure of an arc in a circle is 120 degrees, what is the measure of the corresponding central angle?

120 degrees

Explanation

Central angle measure equals arc measure.

What is the measure of an angle formed by two secants intersecting outside a circle if the measure of the intercepted arc is 120 degrees?

60 degrees

Explanation

Angle measure is half the intercepted arc measure.

If the measure of an arc in a circle is 45 degrees, what is the measure of the central angle that corresponds to this arc?

90 degrees

Explanation

Central angle measure equals twice the arc measure.

What is the relationship between the measure of an inscribed angle and the measure of its intercepted arc in a circle?

They are always equal

Explanation

Inscribed angle and intercepted arc have equal measures.

If the measure of an angle formed by two secants, two tangents, or a secant and a tangent intersecting outside a circle is half the difference of the measures of the intercepted arcs, what is this theorem called?

Intercepted Arc Theorem

Explanation

The angle measure follows the Intercepted Arc Theorem.

What is the relationship between the measure of an angle formed by a tangent and a chord intersecting on the circle and the measure of the intercepted arc?

They are always equal

Explanation

Tangent-chord angle equals intercepted arc measure.

#10

If two inscribed angles intercept the same arc in a circle, are the angles equal in measure?

Yes

Explanation

Inscribed angles intercepting the same arc are equal in measure.

#11

If the measure of an angle formed by two chords in a circle is 70 degrees, what is the measure of the arc intercepted by this angle?

140 degrees

Explanation

Arc measure is twice the angle measure formed by chords.

#12

What is the measure of an angle formed by a secant and a tangent intersecting outside a circle if the measure of the intercepted arc is 120 degrees?

60 degrees

Explanation

Angle measure is half the intercepted arc measure.

#13

What is the measure of an angle formed by two chords in a circle if the chords intersect inside the circle?

It is half the sum of the intercepted arcs

Explanation

Angle measure is half the sum of intercepted arcs.

#14

What is the measure of an angle formed by a tangent and a chord if they intersect at a point on the circle?

It is half the measure of the intercepted arc

Explanation

Angle measure is half the intercepted arc measure.

#15

What is the relationship between the angle formed by a secant and a tangent intersecting outside the circle and the measure of the intercepted arc?

They are sometimes equal

Explanation

Secant-tangent angle is sometimes equal to intercepted arc measure.

#16

If the measure of an inscribed angle in a circle is 90 degrees, what is the measure of the intercepted arc?

90 degrees

Explanation

Inscribed angle measure equals intercepted arc measure.

#17

If two chords in a circle are equal in length, what can you say about the arcs they intercept?

The arcs are equal in length

Explanation

Equal chords in a circle intercept equal arcs.

#18

What is the measure of an angle formed by two secants intersecting outside a circle if the measure of the intercepted arc is 80 degrees?

160 degrees

Explanation

Angle measure is twice the intercepted arc measure.

Angles and Arcs in Circles Quiz

In a circle, what is the measure of the central angle that corresponds to an arc with a measure of 60 degrees?

If the measure of an arc in a circle is 90 degrees, what is the measure of its central angle?

In a circle, if the measure of an arc is 120 degrees, what is the measure of the central angle that intercepts this arc?

If the measure of an arc in a circle is 120 degrees, what is the measure of the corresponding central angle?

What is the measure of an angle formed by two secants intersecting outside a circle if the measure of the intercepted arc is 120 degrees?

If the measure of an arc in a circle is 45 degrees, what is the measure of the central angle that corresponds to this arc?

What is the relationship between the measure of an inscribed angle and the measure of its intercepted arc in a circle?

If the measure of an angle formed by two secants, two tangents, or a secant and a tangent intersecting outside a circle is half the difference of the measures of the intercepted arcs, what is this theorem called?

What is the relationship between the measure of an angle formed by a tangent and a chord intersecting on the circle and the measure of the intercepted arc?

If two inscribed angles intercept the same arc in a circle, are the angles equal in measure?

If the measure of an angle formed by two chords in a circle is 70 degrees, what is the measure of the arc intercepted by this angle?

What is the measure of an angle formed by a secant and a tangent intersecting outside a circle if the measure of the intercepted arc is 120 degrees?

What is the measure of an angle formed by two chords in a circle if the chords intersect inside the circle?

What is the measure of an angle formed by a tangent and a chord if they intersect at a point on the circle?

What is the relationship between the angle formed by a secant and a tangent intersecting outside the circle and the measure of the intercepted arc?

If the measure of an inscribed angle in a circle is 90 degrees, what is the measure of the intercepted arc?

If two chords in a circle are equal in length, what can you say about the arcs they intercept?

What is the measure of an angle formed by two secants intersecting outside a circle if the measure of the intercepted arc is 80 degrees?

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