Q: What is a quadrilateral with one set of parallel side?

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A trapezoid.

trapezoid

A trapezium or trapezoid.

trapzoid

It could easily be taken for a trapezoid.

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A trapezoid.

trapezoid

A trapezoid is unique because it is a quadrilateral that has one set of parallel sides, and one set that is not parallel.

A trapezoid is unique because it is a quadrilateral that has one set of parallel sides, and one set that is not parallel.

A quadrilateral must have one and only one set of a parallel sides to be a trapezoid.

trapezoid

trapezoid

A trapezium or trapezoid.

Trapezium

trapzoid

I don't think this is possible. there is not a quadrilateral with these qualities. If it is a quadrilateral, it will automatically have parallel lines, but there is not one that has both. The closest one would be the trapezoid, with a set of parallel lines, but no right angle. The square and rectangle have two sets of parallel lines and 4 right angles.

A trapezium (US) has no sides parallel, while a trapezoid has one set of unequal parallel sides.