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Lesson 10-3: Arcs and Chords
Geometry CP Mrs. Mongold
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If two chords are congruent, then their arcs are also congruent
B C D
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In inscribed quadrilaterals, the opposite angles are supplementary
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If a radius or diameter is perpendicular to a chord, it bisects the chord and its arc
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If two chords are equidistant from the center of the circle, the chords are congruent
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If FE=BC, then arc FE = arc BC
Quad. BCEF is an inscribed polygon – opposite angles are supplementary angles B and E & angles F and C Diameter AD is perpendicular to chord EC – so chord EC and arc EC are bisected B C E
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B *You can use the pythagorean theorem to find the radius when a chord is perpendicular to a segment from the center EX = FX so chords AB and CD are congruent because they are equidistant from the center E A X C F D
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Practice Problems Find x and if arc RS measures 850 find arc TV.
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems In the circle below, diameter QS is 14 inches long and chord RT is 10 inches long. Find VU.
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Practice Problems
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Practice Problems
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