12.2 Chords and Arcs

Let’s look at a few terms. Chord Central angle

Within a circle or in congruent circles Theorem 12-4: Within a circle or in congruent circles Congruent central angles have congruent chords. Congruent chords have congruent arcs. Congruent arcs have congruent central angles.

Within a circle or in congruent circles Theorem 12-5: Within a circle or in congruent circles Chords equidistance from the center are congruent. Congruent chords are equidistance from the center.

Example:

Theorem 12-6: In a circle, a diameter that is perpendicular to a chord bisects the chord and its arc.

Theorem 12-7: In a circle, a diameter that bisects the chord is perpendicular to a chord.

Theorem 12-8: In a circle, the perpendicular bisector of a chord contains the center of the circle.

Assignment 12.2 Worksheet