Equal chords AB and CD of a circle with centre O, cut at right angles at E. If M and N are the midpoints of AB and CD, respectively, then prove that OMEN is a square.

Equal chords AB and CD of a circle with centre O, cut at right angles

1.	Equal chords AB and CD of a circle with centre O, cut at right angles at E. If M and N are the midpoints of AB and CD, respectively, then prove that OMEN is a square.
Answer» Equal chords AB and CD of a circle with centre O, cut at right angles at E. If M and N are the midpoints of AB and CD, respectively, then prove that OMEN is a square.