A parallelogram is a quadrilateral, which has 2 pair of parallel sides. Squares, rhombuses and rectangles are special cases of parallelograms.
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A quadrilateral that has only one pair of parallel sides (the other pair not parallel) is a trapezium.
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.
British definition differs with USAUSATrapezoidA quadrilateral with one pair of parallel sidesTrapeziumA quadrilateral with no sides parallelBritishTrapezoidA quadrilateral with no sides parallelTrapeziumA quadrilateral with one pair of parallel sides
trapezoidA trapezoid has one pair of parallel sides.
A trapezium.