MathDB

Prove that $EF$ and $DG$ are perpendicular.

Source: Moldova EGMO TST 2023

February 4, 2023

geometry

Problem Statement

Let there be a square

ABCD

. Points

E

and

F

are on sides

(BC)

and

(AB)

such that

BF=CE

. LInes

AE

and

CF

intersect in point

G

. Prove that

EF

and

DG

are perpendicular.

Back to Problems View on AoPS