MathDB

Geometry in a square

Source:

May 18, 2015

geometry

Problem Statement

Points

M

and

N

lie on the sides

BC

and

CD

of the square

ABCD,

respectively, and

\angle MAN = 45^{\circ}

. The circle through

A,B,C,D

intersects

AM

and

AN

again at

P

and

Q

, respectively. Prove that

MN || PQ.