Download GeomP5 14.1 - Inscribed Angles

GeomP5 14.1 ­ Inscribed Angles
Which One Doesn't Belong?
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Inscribed Angles
An angle is inscribed iff its vertex lies on the circle and its sides contain chords of the circle.
B
A
P
C
GeomP5 14.1 ­ Inscribed Angles
Inscribed Angle Measure
Inscribed Angle Measure Theorem: The measure of an inscribed angle is half the measure of its intercepted arc.
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C
1
m _______ = m ____________
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Inscribed Angle Measure
Inscribed Right Angle Corollary: An inscribed angle is a right angle iff it intercepts a semicircle. B
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C
GeomP5 14.1 ­ Inscribed Angles
Inscribed Angle Measure
Congruent Inscribed Angles Theorem: If two inscribed angles intercept the same arc (or congruent arcs), then the angles are congruent.
B
A
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C
Z
What two angles are congruent here?