MathDB

Geometry, Iran MO 2019

Source: Iran MO 2019, secound round, day 1, p2

May 2, 2019

geometry

Problem Statement

ABC

is an isosceles triangle (

AB=AC

). Point

X

is an arbitrary point on

BC

.

Z \in AC

and

Y \in AB

such that

\angle BXY = \angle ZXC

. A line parallel to

YZ

passes through

B

and cuts

XZ

at

T

. Prove that

AT

bisects

\angle A

.

Back to Problems View on AoPS