MathDB

Geo with reflections

Source: St. Petersburg 2023 9.7=11.6

August 12, 2023

geometrygeometric transformationreflection

Problem Statement

Given is a triangle

ABC

. Let

X

be the reflection of

B

in

AC

and

Y

is the reflection of

C

in

AB

. The tangent to

(XAY)

at

A

meets

XY

and

BC

at

E, F

. Show that

AE=AF

.

Back to Problems View on AoPS