12.2 Chords and Arcs
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Transcript of 12.2 Chords and Arcs
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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.
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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.
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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.
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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.
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Theorem 12.8• In a circle, if a diameter is perpendicular to a chord, then it
bisects the chord and its arc.
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Theorem 12.9• In a circle, if a diameter bisects a chord (that is not a
diameter) then it is perpendicular to the chord.
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Theorem 12.10• In a circle, the perpendicular bisector of a chord contains
the center of the circle.
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More Practice!!!!!
• Homework – Textbook p. 776 – 777 #6 – 14 ALL.