A parallelogram.
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Not sure about "parellel" but a quadrangle with two pairs of parallel lines MUST be a parallelogram.
I do not believe that such a quadrangle can exist in Euclidean space.
The figure, as described, is impossible. If a quadrangle has 2 pairs of parallel sides then the number of right angles can be 0 or 4, but not 2.
A trapezoid does not has 2 pairs of parallel lines. A parallelogram does.
A parallelogram has 2 pairs of parallel lines