No its parallel bases can never be equal in length.
But if it is in the form of an isosceles trapezoid then its slanted sides are equal in length.
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Yes but the parallel bases are of different lengths
No, the length of the midsegment of a trapezoid is equal to the average of the lengths of the bases. The sum of the lengths of the bases would typically yield a longer length than the midsegment.
No, it is not.
You prove that the two sides (not the bases) are equal in length. Or that the base angles are equal measure.
No but it has congruent base angles. Also it has: One pair of parallel sides Non-parallel sides that are equal Two pairs of equal angles Diagonals that are equal