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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 9 2004
Hi David,
Unless I have misread you, I think you have answered Cynthia's original
question rather than my "follow-up question".

Cynthia asked whether the average length property holds for *all*
quadrilaterals, and my question was whether there *exist* any (other than
trapezoids).  In other words, "part(b)" could be rephrased as "If the midsegment
satisfies the average length property, *must* the edges that it separates be
parallel?"

lines of argument)to a proof that the answer to part (b) is "Yes" (in terms of
the second phrasing) -- and that proof is much nicer than the
coordinate-based argument I had in mind.

cheers,
Alan

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