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12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the.

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Presentation on theme: "12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the."— Presentation transcript:

1 12-1 Tangent Lines

2 Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the point of tangency.

3 Theorem 12-1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

4 Theorem 12-2 If a line is perpendicular to the radius drawn to the point of tangency, then the line is tangent to the circle.

5 Theorem 12-3 Two segments tangent to a circle from a point outside the circle are congruent.

6 Example #1 Find x. 117˚ x˚x˚ 360-117-90-90=63˚

7 Example #2 Find the distance between the centers of the pulleys. 26.5 in. 9.3 in. 4.3 in. 5 2 + 26.5 2 = c 2 27.0 in

8 Today's Assignment WS 12-1


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