Question

A trapezoid has symmetry with respect to the median of the trapezoid.

Answer 1

Definition and Theorems pertaining to a trapezoid: DEFINITION: A trapezoid is a quadrilateral with at least one pair of parallel sides. THEOREM: The median of a trapezoid is parallel to the bases and half the sum of the lengths of the bases. A isosceles trapezoid is a trapezoid with congruent base angles.

Answer 2

I believe that the given statement is false. A trapezoid do not have symmetry with respect to the median of the trapezoid. The median divides the trapezoid into two smaller trapezoids each with half the altitude of the original. Hope this helps.