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Published byJeffrey Dalton Modified over 9 years ago
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Tangents to CirclesCircles
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Secants and Tangents Secant 2 points of intersection Tangent 1 point of intersection Point of Tangency
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Radii _|_ Chord What would you conclude about the following diagram? P A B X R
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Radii _|_ Chord What would you conclude about the following diagram? P A B X R AX XB ? Prove it!
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Radii & Tangent What would you conclude about the following diagram? P A
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Radii & Tangent Does this help?? P A
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Radii & Tangent The tangent is perpendicular to the radius at the point of tangency P A
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Inscribed Angles & Arcs An inscribed angle has its vertex ON the circle.
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Inscribed Angles & Arcs An inscribed angle has its vertex ON the circle. Intercepted arc
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Inscribed Angles & Arcs What type of inscribed angle forms a minor arc? Minor arc
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Inscribed Angles & Arcs What type of inscribed angle forms a major arc? Major arc
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Inscribed Angles & Arcs What type of inscribed angle forms a semicircle? Semicircle
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Inscribed Angle Theorem An angle inscribed in an arc has a measure equal to ½ the measure of the intercepted arc. 60 120
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Inscribed Angle Theorem What is the missing measure? 20 ??
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Inscribed Angle Theorem What is the missing measure? 90 ??
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Inscribed Angle Theorem What is the missing measure? ??
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Inscribed Angle Theorem What is the missing measure? 40 ??
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Theorem If two inscribed angles intercept the same arc, then they have the same measure 40 80
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