MathDB

Easy but cute geometry

Source: IMEO 2020 Problem 1

July 15, 2020

IMEOgeometry

Problem Statement

Let

ABC

be a triangle and

A'

be the reflection of

A

about

BC

. Let

P

and

Q

be points on

AB

and

AC

, respectively, such that

PA'=PC

and

QA'=QB

. Prove that the perpendicular from

A'

to

PQ

passes through the circumcenter of

\triangle ABC

.
Fedir Yudin

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