If you pursue the equal legs definition, you have to throw out a number of other results about isosceles trapezoids that we all know and love, like midline symmetry, congruent base angles, or congruent diagonals.

In what way does the symmetry definition of an isosceles trapezoid go against the rest of the piece? The legs of an isosceles trapezoid *may* be parallel, if the trapezoid is a rectangle, but this is the only case when this would be true.

]]>I’m not sure exactly what the problem is. You tried the link and you got to the download page, and then what happened when you clicked the download link?

]]>They avoid the issue on many other things too. For example (this is just the first thing I thought of…I’m sure there are others), they will never ask students to evaluate the indefinite integral (some say this diverges, some say this is 0–the Cauchy Principal Value of the integral) but they WILL have students evaluate the indefinite integral because by all accounts, this diverges. They just want to avoid the nuance of this conversation entirely, which I completely understand.

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