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Published byMatthew Pitts Modified over 9 years ago
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Pg 603
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An angle whose vertex is the center of the circle
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Minor Arc CB Major Arc BDC Semicircle Endpoints of the arc are a diameter
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Minor Arc The measure of the central angle Major Arc 360 – minor arc Congruent Arcs Have the same measure
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MN 80 ° MPN 360 – 80 = 280 ° PMN 180 °
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The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs. mABC = mAB +mBC
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GE 40 + 80 = 120 ° GEF 120 + 110 = 230 ° GF 360 – 230 = 130 °
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In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. if and only if
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If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.
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If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.
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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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CD = 10
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