1. Do Now 1.) Explain the difference between a chord and a secant.
2.) How many degrees does a minute hand of a clock move in 50 minutes?

2. Geometry
10.3: Properties of Chords

3. Chords Theorems
Theorem 10.3: In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. A B C D

4. Chords Theorems
Theorem 10.4: If one chord is a perpendicular bisector of another chord, then the first chord is a diameter. S A T P Q R

5. Chords Theorems
Theorem 10.5: If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc. S A T P Q R

6. Chords Theorems Theorem 10.6: In the same circle, or in
congruent circles, two chords are
congruent if and only if they are
equidistant from the center. A B O L M C D

7. Examples

8. Examples

9. Examples

10. Examples