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Published byJulia Sparks Modified over 8 years ago
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10.3 Inscribed Angles Intercepted arc
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Definition of Inscribed Angles An Inscribed angle is an angle with its vertex on the circle. http://www.mathopenref.com/circleinscribed.html
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Theorem An Inscribed angle equals half the intercepted arc.
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Theorem An Inscribed angle equals half the intercepted arc. ADC = 180°
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Theorem An Inscribed angle equals half the intercepted arc. ADC = 240°
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Theorem If two inscribed angles have the same intercepted arc, then the angles are equal.
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Some Definitions A polygon whose vertices are touching a circle is called inscribed. If a Circle is drawn around a polygon, it is circumscribed about the circle.
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Theorem If a right triangle is inscribed in a circle, the hypotenuse is the diameter.
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Theorem A Quadrilateral can be inscribed in a circle if and only if opposite angles are supplementary
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Solve for x
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Solve for x, y and z
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Solve for x and y
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Homework Page 617 # 9 – 29
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