Given a circle and two points on that circle, P and Q, draw the chord PQ, and label its midpoint M.

Now draw two other chords of the circle AB and CD that both pass through M.

Further, draw chords AD and BC.

Label the intersection of AD and PQ, point X.
Label the intersection of BC and PQ, point Y.
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Prove that M is the midpoint of line segment XY.

(In reply to re(5): stumper -- A Visual Guess by Richard)

Richard,

Methinks thou dost protest too much.  ;-)

Yes, we both agree you didn't solve it... and you seem fearful that I haven't given you credit for finding it on the web so well!

As I said in my first response below, "you are an expert googler".

Posted by Thalamus on 2004-03-26 22:21:37