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Section 10.4 Arcs and Chords
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Theorem 10.5 In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
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Example 4
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Perpendicular Diameter Theorem(10.6)
If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.
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Thm 10.7 If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.
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Congruent Chords Theorem (10.8)
In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.
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