that quadrilateral would be called a trapezoid. :)
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If it doesn't have parallel sides, it's just classified as a quadrilateral.
I would be seriously concerned if a quadrilateral had more than two pairs of opposite sides parallel! A quadrilateral with two pairs of opposite sides parallel is a parallelogram.
A Trapezium (can have two opposite sides parallel)A kite has no parallel opposite sides
A square's opposite sides are parallel and all the sides are congruent.
Only if it is a trapezoid (US usage) with one set of parallel sides, or a parallelogram with both sets of opposite sides parallel. The term quadrilateral only means that the shape has 4 sides.