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12.2 Chords and Arcs

12.2 Chords and Arcs. Theorem 12.4 and Its Converse Theorem – Within a circle or in congruent circles, congruent central angles have congruent arcs. Converse – Within a circle or in congruent circles, congruent arcs have congruent central angles. Theorem 12.5 and Its Converse.

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12.2 Chords and Arcs

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  1. 12.2 Chords and Arcs • Theorem 12.4 and Its Converse • Theorem – • Within a circle or in congruent circles, congruent central angles have congruent arcs. • Converse – • Within a circle or in congruent circles, congruent arcs have congruent central angles.

  2. Theorem 12.5 and Its Converse • Theorem - Within a circle or in congruent circles, congruent central angles have congruent chords. • Converse – Within a circle or in congruent circles, congruent chords have congruent central angles.

  3. Theorem 12.6 and Its Converse • Theorem – Within a circle or in congruent circles, congruent chords have congruent arcs. • Converse – Within a circle or in congruent circles, congruent arcs have congruent chords.

  4. Theorem 12.7 and Its Converse • Theorem – Within a circle or in congruent circles, chords equidistant from the center or centers are congruent. • Converse – Within a circle or in congruent circles, congruent chords are equidistant from the center (or centers.

  5. Theorem 12.8 • In a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc.

  6. Theorem 12.9 • In a circle, if a diameter bisects a chord (that is not a diameter) then it is perpendicular to the chord.

  7. Theorem 12.10 • In a circle, the perpendicular bisector of a chord contains the center of the circle.

  8. More Practice!!!!! • Homework – Textbook p. 776 – 777 #6 – 14 ALL.

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