MathDB

AB

and

CD

are segments lying on the two sides of an angle whose vertex is

O

A

is between

O

and

B

, and

C

is between

O

and

D

. The line connecting the midpoints of the segments

AD

and

BC

intersects

AB

M

and

CD

N

. Prove that

\frac{OM}{ON}=\frac{AB}{CD}

(V Senderov)

Problem Statement