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D'B, E'C and l are congruence.

Source: 2022 Iran second round mathematical Olympiad P1

May 22, 2022

geometry

Problem Statement

Let

E

and

F

on

AC

and

AB

respectively in

\triangle ABC

such that

DE || BC

then draw line

l

through

A

such that

l || BC

let

D'

and

E'

reflection of

D

and

E

to

l

respectively prove that

D'B, E'C

and

l

are congruence.

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