Congruent Chords and Arcs 2

Front

What are congruent chords in a circle?

Back

Congruent chords are chords that have the same length in a circle.

Front

What is the relationship between congruent chords and arcs?

Back

Congruent chords subtend congruent arcs in a circle.

Front

How do you find the measure of an arc given the central angle?

Back

The measure of an arc is equal to the measure of the central angle that subtends it.

Front

What is the formula for the length of an arc?

Back

Length of arc = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

If two arcs are congruent, what can be said about their corresponding chords?

Back

If two arcs are congruent, their corresponding chords are also congruent.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180°.

Front

How do you calculate the measure of an angle formed by two intersecting chords?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

What is the relationship between the measures of arcs and the angles they subtend?

Back

The measure of an angle is equal to half the difference of the measures of the arcs it intercepts.

Front

If the measure of arc TW is 93°, what is the measure of the angle subtended by it at the center?

Back

The measure of the angle subtended at the center is 93°.

Front

What is the relationship between the lengths of two congruent chords?

Back

Two congruent chords are equidistant from the center of the circle.