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Quadrilaterals. Parallelograms have two pairs of parallel sides.
Rectangle? :P
No. If there are only 2 parallel sides, then it's a trapezoid. It's nota parallelogram unless there are two pairs of parallel sides.
A trapezoid is different from other quadrilaterals that have 2 pairs of parallel sides in that a trapezoid has only 1 pair of parallel sides of different lengths.
Square and rectangle.