1. Congruent
Chords
Lesson 10.2

2. If two chords are the same distance from the center of a circle, what can we conclude?
Theorem 77:
If two chords of a circle are equidistant from the center, then they are congruent.

3. Theorem 78:
If two chords of a circle are congruent, then they are equidistant from the center of the circle.

4. Given: Circle O, AB  CD, OP = 12x – 5, OQ = 4x + 19
Find: OP
Since AB  CD, OP = OQ
12x – 5 = 4x + 19
x = 3
Thus, OP = 12(3) – 5 = 31

5. Given
An isosceles Δ has two  sides.
If 2 chords of a circle are , then they are equidistant from the center.
A Δ with two  sides is isosceles.
Circle P, PQ  AB, PR  CB
ΔABC is isosceles, with base AC.
AB  BC
PQ  PR
ΔPQR is isosceles