1. 12.2
Chords
and
Arcs

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

3. 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.

5. 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.

6. Example:

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

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

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

10. Assignment
12.2
Worksheet