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10.3 Inscribed Angles

10.3 Inscribed Angles. Intercepted arc. Definition of Inscribed Angles. An Inscribed angle is an angle with its vertex on the circle. http://www.mathopenref.com/circleinscribed.html. Theorem. An Inscribed angle equals half the intercepted arc. Theorem.

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10.3 Inscribed Angles

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  1. 10.3 Inscribed Angles Intercepted arc

  2. Definition of Inscribed Angles An Inscribed angle is an angle with its vertex on the circle. http://www.mathopenref.com/circleinscribed.html

  3. Theorem An Inscribed angle equals half the intercepted arc.

  4. Theorem An Inscribed angle equals half the intercepted arc. ADC = 180°

  5. Theorem An Inscribed angle equals half the intercepted arc. ADC = 240°

  6. Theorem If two inscribed angles have the same intercepted arc, then the angles are equal.

  7. 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.

  8. Theorem If a right triangle is inscribed in a circle, the hypotenuse is the diameter.

  9. Theorem A Quadrilateral can be inscribed in a circle if and only if opposite angles are supplementary

  10. Solve for x

  11. Solve for x

  12. Solve for x, y and z

  13. Solve for x and y

  14. Solve for x and y

  15. Solve for x and y

  16. Solve for x and y

  17. Solve for x and y

  18. Homework Page 617 # 9 – 29

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