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Circles: The Length of Tangent/Secant Lines Endpoint outside the circle…

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Presentation on theme: "Circles: The Length of Tangent/Secant Lines Endpoint outside the circle…"— Presentation transcript:

1 Circles: The Length of Tangent/Secant Lines Endpoint outside the circle…

2 Secant and Tangent Lines If part of secant line is outside circle, call it the “external segment.” D B C A DA = Secant Line DC = Tangent Line DB = External Segment of the Secant Line.

3 Secant and Tangent Lines The square of the tangent line is equal to the product of the external segment and the whole secant line. D B C A (Tangent) 2 = External Segment(Secant Line) (DC) 2 = DB(DA)

4 Example To find an unknown length: Use a variable. Substitute the values you know. Simplify. D B C A (DC) 2 = DB(DA) 8 Secant: DA = 20 Ext. Seg: DB = 8 (x) 2 = 8(20) x


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