Warm Up 3-8 Find X. Announcements Online HW due Wednesday night Warm Ups due Thursday Test Friday.

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Presentation transcript:

Warm Up 3-8 Find X

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

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

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

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

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

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

Th 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.

Examples 16

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

Examples 9 9

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

Th In a circle, the perpendicular bisector of a chord contains the center of the circle.

Classwork Worksheet 12-2