What shape has no lines of symmetry and 2 pairs of parallel sides?

The shape that has no lines of symmetry and 2 pairs of parallel sides is a trapezoid. A trapezoid is a quadrilateral with at least one pair of parallel sides, and it does not have any lines of symmetry due to its asymmetrical nature. The two non-parallel sides of a trapezoid are typically of different lengths, further emphasizing its lack of symmetry.