1. TOPIC 12-2

2. Definition
Chord – a segment whose endpoints are points on the circle.

3. Arcs and Chords Theorem
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

4. Example 1

5. Perpendicular Diameter Theorem
If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

6. Perpendicular Diameter Converse
If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.

7. Find the value of x

8. Congruent Chords Theorem
In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

9. Find the value of x