1. 10.2 Congruent Chords After studying this section, you will be able to apply the relationship between congruent chords of a circle.

2. If 2 chords are the same distance from the center of a circle, what can we conclude? TheoremIf two chords of a circle are equidistant from the center, then they are congruent. A B D C XP Y

3. TheoremIf two chords of a circle are congruent, then they are equidistant from the center of the circle. A B D C XP Y

4. Given: Circle P Find Example 1 A B D C XP Y

5. Example 2 Given: Triangle ABC is isosceles with base AC. Circle P Prove Triangle PQR is isosceles A C Q P B R

6. Summary Why do you think that it was necessary to be given, in example 2, even though they did not seem to play an active role in the proof? Homework: worksheet