10.3 Inscribed Angles

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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

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Solve for x, y and z

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Solve for x and y

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Solve for x and y

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Solve for x and y

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Solve for x and y

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Solve for x and y

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Homework

• Page 617
• 9 29