Complete the proof of the Converse of the Tangent-Radlus Theorem. Glven: Line m Is In the plane of circle C, P Is a polnt of circle C, and CP Im Prove: m Is tangent to circle C at P. Let Q be any point on m other than P. Then ACPQ is a right triangle with hypotenuse Therefore, CQ ? v CP since the hypotenuse is the ? v side of a right triangle. Since CP is a radius, point Q must be in the ? v of circle C. So, P is the only point of line m on circle C. Since line m intersects circle C at exactly one point, line m is tangent to the circle at P.

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