# A Parallelogram with Vertices on Two Circles

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Let a circle have diameter AB and let M be a point on another circle with center at A. Let the circles intersect at C and D. Let BM, CM, and DM intersect the first circle at N, P, and Q, respectively. Then MPBQ is a parallelogram.

Contributed by: Jay Warendorff (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

See problem 2666 in*Crux Mathematicorum* 28(7), 2002 pp. 462-3.

## Permanent Citation

"A Parallelogram with Vertices on Two Circles"

http://demonstrations.wolfram.com/AParallelogramWithVerticesOnTwoCircles/

Wolfram Demonstrations Project

Published: March 7 2011