rhombus
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A square
Any polygon with four or more sides can have a pair of parallel sides. It is also possible to to have non-polygonal shapes - eg a cigar-shape - that has parallel sides.
Any polygon, other than a triangle, can have one pair of parallel sides.
One pair of parallel sides, It divides in to smaller shapes
One pair? If it is one pair of parallel sides, then it is a trapezoid. If it has 2 pairs of parallel sides, then it is a parallelogram.