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 Discussion: All Topics Topic: Midsegment of a rectangle? Related Item: http://mathforum.org/mathtools/tool/15621/

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 Subject: RE: Midsegment of a rectangle? Author: Alan Cooper Date: Dec 10 2004
On Dec  9 2004, Mathman wrote:
> A quick followup:  I'm thinking of a quadrilateral with top and
> bottom of lengths "a" and "b".  There is a line joining the
> midpoints of the two sides, and its length is given as (a+b)/2.  You
> want proof that the top and bottom are parallel, [and the midpoint
> divider would then also be parallel to them.]  Is this what you
> mean?

Yes.

And I think your triangle decomposition (by drawing in a diagonal) leads to a
very nice proof of this fact.

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