1. Warm Up 3-8 Find X

2. Announcements Online HW due Wednesday night Warm Ups due Thursday Test Friday

3. Chord A line segment whose endpoints are ON the circle. Diameter is a chord that goes through the center.

4. Th.12-4 and its Converse Within a circle or congruent circles: ▫1. Congruent central angles have congruent arcs ▫2. Congruent arcs have congruent central angles

5. Th. 12-5 and its Converse Within a circle or congruent circles: ▫1. Congruent central angles have congruent chords. ▫2. Congruent Chords have congruent central angles.

6. Th. 12-6 and its Converse Within a circle or congruent circles: ▫1. Congruent chords have congruent arcs. ▫2. Congruent arcs have congruent chords.

7. Examples Angle O is congruent to Angle P Arc BC is congruent to Arc DF

8. Th. 12-7 and its Converse Within a circle or congruent circles: ▫1. Chords equidistant from the center are congruent. ▫2. Congruent chords are equidistant from the center.

9. Examples 16

10. Th. 12-8 In a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc.

11. Examples 9 9

12. Th. 12-9 In a circle, if a diameter bisects a chord that is not a diameter, then it is perpendicular to the chord.

13. Th. 12-10 In a circle, the perpendicular bisector of a chord contains the center of the circle.

14. Classwork Worksheet 12-2