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square geometry bisect $\angle ESB$

Source: BMO SL 2019, G1

November 8, 2020

geometryAngle Chasingbisectsquare

Problem Statement

Let

ABCD

be a square of center

O

and let

M

be the symmetric of the point

B

with respect to point

A

. Let

E

be the intersection of

CM

and

BD

, and let

S

be the intersection of

MO

and

AE

. Show that

SO

is the angle bisector of

\angle ESB

.

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