Any four-sided shape is a Quadrilateral. Square, Rectangle, Parallelogram, rhombus, trapezoid etc. It may have no parallel sides as in a kite, 1 parallel side as in trapezoid or 2 parallel sides as in parallelogram.
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A quadrilateral that has only one pair of parallel sides (the other pair not parallel) is a trapezium.
Yes, a trapezoid is a quadrilateral with only one pair of parallel sides.
A trapezoid
There is no quadrilateral on that list that has only 1 pair of parallel sides.
The trapezoid (UK trapezium) has only 1 pair of unequal parallel sides.