No, because all quadrilaterals have 4 straight sides.
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A trapezoid (or trapezium) has at least one pair of parallel sides.If you asked, "Name all the types of quadrilaterals which have at least one pair of parallel sides?", I would answer: Trapezoid, rhombus, parallelogram, rectangle and square.
A trapezium and a parallelogram are both quadrilaterals with at least one pair of parallel sides.
There is no quadrilateral on that list that has only 1 pair of parallel sides.
trapezoid