Inscribed Angles – Flashcards
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Inscribed Angle
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If the vertex of the angle is on the circle and the sides of the angles are chords of the circle
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Intercepted arc
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is an arc of a circle having endpoints on the sides of an inscribed angle
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Theorem 6-9 ( Inscribed Angle Theorem)
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The measure of an inscrubed angle is half the measure of its intercepted arc
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Corollary 1 to Theorem 6-9
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Two inscribed angles that intercept the same arc are congruent
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Corollary 2 to Theorem 6-9
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An angle inscribed in a semicircle is a right angle.
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Corollary 3 to Theorem 6-9
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The opposite angles of a Quadrilateral inscribed in a circle are supplementary.
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Theorem 6-10
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The measure of an angle formed by a tangent and a chord is half the measure of the intercepts arc.
