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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. - PowerPoint PPT Presentation
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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 CRAngle CAR = ½ arc CR or ½ Angle COR
Inscribed Angles Intercepting the Same Arc
Inscribed angles that intercept the same are are congruent
Angle PAQ and Angle PBQ both intercept arc PQ
Angles Inscribed in a Semicircle
If the two chords of the angle have endpoints of the diameter then then angle is 90 degreesOne side of the triangle formed is the diameter
Cyclic Quadrilaterals
A quadrilateral inscribed in a circleAll the vertices of the quad touch the circleThe opposite angles of a cyclic quadrilateral are supplementary
Examples
Homework
Pg 327 1-13 oddHonors 16 and 17
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