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 clrcle C, and CP 1mProve: 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 hypotenusev CP since the hypotenuse is the ?Therefore, CQv 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 istangent to the circle at P.Type here to search

Triangle CPQ has hypotenuse CQ.

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.

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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.2: Length And Angle: The Dot Product

Problem 7AEXP

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