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Published byClaud Norman Modified over 6 years ago
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Tangent Lines A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. The point where a circle and a tangent intersect is the point of tangency.
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Theorem 12.1 If a line is tangent to a circle, then the line is perpendicular to the radius at the point of tangency.
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Theorem 12.2 If a line in the plane of a circle is perpendicular to a radius at its endpoint on the circle, then the line is tangent to the circle.
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Theorem 12.3 If two tangent segments to a circle share a common endpoint outside the circle, then the two segments are congruent.
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Finding Angle Measures
Segment ML and segment MN are tangent to circle O. What is the value of x? LMNO is a quadrilateral. The sum of the angles is 360. x = 360 297 + x = 360 x = 63 The measure of angle M is 63°.
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Finding a Radius What is the radius of circle C?
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Identifying a Tangent Is segment ML tangent to circle N at L? Explain.
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Real world example
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Assignment Page #1,2,3,4,7,8,9,10,11
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