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Lines that Intersect Circles

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Presentation on theme: "Lines that Intersect Circles"— Presentation transcript:

1 Lines that Intersect Circles
2017

2 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

3 Point of Tangency

4 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

5 Example 1: Identify each line or segment that intersects the circle

6 Tangent Lines Theorem If two segments are tangent to a circle from the same external point, the segments are congruent.

7 Example 2: Find each length
a. x b. RS

8 Another Tangent Line Theorem
If a line is tangent to a circle, then it is perpendicular to the radius.

9 Homework 9-12, 16-22, 26, 27, 32, 37


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