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 Discussion: All Topics Topic: on trapezoids Related Item: http://mathforum.org/mathtools/tool/15621/

 Post a new topic to the tool: Dynamic Geometry Exploration: Properties of the Midsegment of a Trapezoid discussion

 Subject: RE: on trapezoids Author: Johnny G Date: Jan 19 2005
a rectangle is a trapezoid.  if anyone argued it wasn't you have the proof
listed below.  it's simply a sepcial case.  just like a square is a rectangle.
but it's a very special rectangle.  (and yes, a square is a trapezoid
too...)

On Jan 10 2005, Mathman wrote:
> It occurred to me that if we draw a trapezoid, say with the left
> non-parallel side vertical to the base, and the right hand non-
> parallel side sloping to the left, we could draw continuous
> trapezoids, rotating that right hand line clockwise.  It will not be
> argued that the figure is not a trapezoid when the line slopes to
> the left.  Neither will it be argued that it is not when the line
> slopes to the right.  So, why should it be argued that the figure is
> not a trapezoid when the line is vertical, making the figure also a
> rectangle?  There is nothing non-finite, or unusual occurring during
> the transition.

David.