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ABC is a triangle inscribed in a circle. The bisector of ÐBAC cuts BC at X and the circle at Y. Prove that: a triangle ABX is similar to AYC b AB.AC = AX.AY

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

ABC is a triangle inscribed in a circle. The bisector of ÐBAC cuts BC at X and the circle at Y. Prove that:

a triangle ABX is similar to AYC

b AB.AC = AX.AY

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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