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Arcs and Angles

Arcs and Angles. Inscribed Angle. The measure of an angle inscribed in a circle is one half the measure of the intercepted arc. Angle COR = arc CR Angle CAR = ½ arc CR or ½ Angle COR. Inscribed Angles Intercepting the Same Arc. Inscribed angles that intercept the same are are congruent.

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Arcs and Angles

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  1. Arcs and Angles

  2. Inscribed Angle The measure of an angle inscribed in a circle is one half the measure of the intercepted arc Angle COR = arc CR Angle CAR = ½ arc CR or ½ Angle COR

  3. Inscribed Angles Intercepting the Same Arc Inscribed angles that intercept the same are are congruent Angle PAQ and Angle PBQ both intercept arc PQ

  4. Angles Inscribed in a Semicircle If the two chords of the angle have endpoints of the diameter then then angle is 90 degrees One side of the triangle formed is the diameter

  5. Cyclic Quadrilaterals A quadrilateral inscribed in a circle All the vertices of the quad touch the circle The opposite angles of a cyclic quadrilateral are supplementary

  6. Examples

  7. Homework Pg 327 1-13 odd Honors 16 and 17

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