I am trying to prove that the midpoints of the parallel sides of an isosceles trapezoid are perpendicular in order to prove that the lines have identical perpendicular bisectors, but I cannot find a way to prove such a thing.
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This question needs clarification and reformulation. For instance, what does it mean that "the midpoints of the parallel sides of an isosceles trapezoid are congruent" Two points are always congruent.
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You are correct, that was a typo. i didn't mean that the two points were congruent, but rather that they are both perpendicular to each other. Like in this diagram i would be looking to see that HF is perpendicular to both CD and BA – Thomas Greim Dec 10 '15 at 18:48