Answered: Prove the theorem: If two chords…

Prove the theorem: If two chords (segments) AB and CD of a circle do not intersect but the lines AB and CD intersect at point P, then PA * PB = PC * PD

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Prove the theorem:

If two chords (segments) AB and CD of a circle do not intersect but the lines AB and CD intersect at point P, then

PA * PB = PC * PD

Note: Include picture/illustration with proof.

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

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