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Lines that Intersect Circles
2017
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New Vocab Chord: a segment whose endpoints lie on a circle
Secant: a line that intersects a circle at two points Tangent: a line that intersects a circle at exactly one point Point of Tangency: the point where the tangent and a circle intersect
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Point of Tangency
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Types of Circles Congruent Circles: circles that have congruent radii
Concentric Circles: coplanar circles with the same center Tangent Circles: two circles that intersect at exactly one point
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Example 1: Identify each line or segment that intersects the circle
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Tangent Lines Theorem If two segments are tangent to a circle from the same external point, the segments are congruent.
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Example 2: Find each length
a. x b. RS
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Another Tangent Line Theorem
If a line is tangent to a circle, then it is perpendicular to the radius.
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Homework 9-12, 16-22, 26, 27, 32, 37
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