200 likes | 399 Views
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.
E N D
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 An Inscribed angle equals half the intercepted arc. ADC = 180°
Theorem An Inscribed angle equals half the intercepted arc. ADC = 240°
Theorem If two inscribed angles have the same intercepted arc, then the angles are equal.
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.
Theorem If a right triangle is inscribed in a circle, the hypotenuse is the diameter.
Theorem A Quadrilateral can be inscribed in a circle if and only if opposite angles are supplementary
Homework Page 617 # 9 – 29