9.3 Congruent Chords and Arcs

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 the distance of a chord from the center of a circle and its length?

Back

Chords that are the same distance from the center of a circle are congruent to each other.

Front

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

Back

The arcs subtended by congruent chords are also congruent.

Front

How do you find the length of a chord given the radius and the distance from the center?

Back

Use the formula: Length of chord = 2 * √(r² - d²), where r is the radius and d is the distance from the center.

Front

What is 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

If two chords intersect inside a circle, how do you find the lengths of the segments?

Back

The products of the lengths of the segments of each chord are equal: (a)(b) = (c)(d), where a and b are segments of one chord and c and d are segments of the other.

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The angles formed by two intersecting chords are equal to half the sum of the measures of the arcs they intercept.

Front

How do you determine if two chords are congruent?

Back

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

Front

What is the significance of the center of a circle in relation to chords?

Back

The center of a circle is the point from which the distances to the endpoints of the chords are measured.

Front

If a chord is bisected by a radius, what can be said about the two segments?

Back

The two segments created by the bisection of the chord are congruent.