A quadrilateral with one pair of parallel lines would be a trapezoid. : P
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A quadrilateral with at least one pair of parallel sides has multiple possible names, depending on what type of quadrilateral it is.SquareRectangleParallelogramRhomboidTrapezoidYou are probably looking for only one pair of parallel sides, which is a trapezoid - both regular and irregular.
For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.
A trapezium.
TRAPEZOID