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7-3 Arcs and Chords Objectives:
To recognize and use relationships among arcs, chords, and diameters.
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Vocabulary Arc of the Chord Inscribed Polygon
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Arc of the Chord When a minor arc and a chord share the same endpoints we call the arc, the arc of the chord.
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Inscribed Polygon A polygon is an inscribed polygon if each of vertices lies on the circle.
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Theorem 7-1 In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
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Example 1 Find
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Theorem 7-2 In a circle, if a diameter, or portion of a diameter, is perpendicular to a chord, then it bisects the chord and its arc.
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Example 2 Find
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Theorem 7-3 In a circle, two chords are congruent if and only if they are equidistant from the center.
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Example 3 Find
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Homework 7-3 Worksheet
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