Quadrilateral ProblemDate: 8 May 1995 02:14:59 -0400 From: Andrei Gheorghe Subject: Squares problem Hello there, I have this problem for you. If you can solve it, please let me know. I've been working on it and no results. Let ABCD be a convex quadrilateral and M, N, P, Q points on AB, BC, CD, DA respectively, such as BM = CN = DP = AQ. Prove that, if MNPQ is a square then ABCD is a square. Date: 9 Jun 1995 14:49:42 -0400 From: Dr. Ken Subject: Re: Squares problem Hello there! We're finally getting around to your problem. I've created a couple of nice sketches using the Geometer's Sketchpad, and I've put them at the following addresses: http://excalibur.swarthmore.edu/squares.gsp and http://excalibur.swarthmore.edu/squares2.gsp . Check them out! If you don't have a copy of the Geometer's sketchpad, you can download a demo version of it from http://mathforum.org . If you can, take a look at these sketches, and see if they help you figure out how to construct a traditional proof. If not, write back to us and we'll try to get you on the right track. -K |
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