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You cannot have 1 parallel side; in a quadrilateral a side must be parallel to another side.
A trapezium has one pair of parallel sides. A parallelogram, with special cases of a rhombus also have a pair of parallel sides. In fact they have two pairs of parallel sides but the question does not limit the number of parallel sides to one. (NB the rectangle and square are special cases of the parallelogram and rhombus.)
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