http://upload.wikimedia.org/wikipedia/commons/6/68/Quadrilaterals.svg The Kite in the bottom left has no parallel sides.
a trapezoid
In the U.S., that is a specific kind of "trapezium", which is a quadrilateral with no parallel sides. A quadrilateral with no parallel sides and no equal sides is basically just that, a...
There is no such object. Every quadrilateral must have adjacent sides. In fact, every polygon MUST have adjacent sides.
Trapezium.
Trapezoid.
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