MathDB

As shown in the figure, there are two rectangles

ABCD

and

PQRD

with the same area, and with parallel corresponding edges. Let points

N,

M

and

T

be the midpoints of segments

QR,

PC

and

AB

, respectively. Prove that points

N,M

and

T

lie on the same line.
http://s4.picofile.com/file/8372959484/E02.png
Proposed by Morteza Saghafian

Problem Statement