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11-2 Chords and Arcs

# 11-2 Chords and Arcs - to a chord bisects the chord and its...

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Chords and Arcs Section 11-2

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Theorem 11-4 Within a circle or in congruent circles: Congruent central angles have congruent chords. Congruent chords have congruent arcs. Congruent arcs have congruent central angles.
A B C D CD AB CD AB If = = ,

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Within a circle or in congruent circles: Chords equidistant from the center are congruent. Congruent chords are equidistant from the center. C R B A X P M AX=PM
A polygon is an inscribed polygon if each of its vertices lies on a circle.

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Theorem 11-6 – 11-8 In a circle, a diameter that is perpendicular

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Unformatted text preview: to a chord bisects the chord and its arc. In a circle, a diameter that bisects a chord is perpendicular to the chord. In a circle, the perpendicular bisector of a chord contains the center of the circle. A B C D X CD AB ⊥ XB AX = DB AD = Joke Time What’s a cow’s favorite painting? The Moona Lisa What does the tooth fairy give for half a tooth? Nothing. She wants the tooth, the whole tooth, and nothing but the tooth!...
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11-2 Chords and Arcs - to a chord bisects the chord and its...

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