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0472 geometry 4th edition Round 7 p2

Source:

May 7, 2021

geometry4th edition

Problem Statement

Let

\Omega

be the incircle of a triangle

ABC

. Suppose that there exists a circle passing through

B

and

C

and tangent to

\Omega

A'

. Suppose the similar points

B'

C'

exist. Prove that the lines

AA', BB'

and

CC'

are concurrent.