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10.3 Inscribed Angles Intercepted arc. Definition of Inscribed Angles An Inscribed angle is an angle with its vertex on the circle.

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Presentation on theme: "10.3 Inscribed Angles Intercepted arc. Definition of Inscribed Angles An Inscribed angle is an angle with its vertex on the circle."— Presentation transcript:

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

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12 Solve for x, y and z

13 Solve for x and y

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18 Homework Page 617 # 9 – 29


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