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I'm having trouble coming up with a proof regarding isoceles trapezoids. The given information is that the diagonals of trapezoid ABCD are congruent so segment AC is congruent to segment DB. Can anyone explain the steps of proving the legs of the trapezoid are congruent? Thank you.

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I thought the definition of isosceles trapezoid was that the legs were equal. In fact, the bisector of the bases is an axis of symmetry.
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