The following quadrilateral has no sides parallel:

A quadrilateral with no sides parallel is indeed categorized as a trapezium. In geometry, a trapezium (or trapezoid in some regions) specifically refers to a four-sided figure where none of the opposite sides are parallel.

This characteristic distinguishes trapeziums from trapezoids (in regions where the term is used differently), which have at least one pair of parallel sides. The other shapes listed, such as the trapezoid, rhomboid, and rhombus, either have one or more sides that are parallel or exhibit specific properties related to parallelism that do not apply to trapeziums.

Thus, understanding the definitions and properties of these quadrilaterals helps clarify that a trapezium has the unique feature of having no sides parallel, making it the correct choice in this scenario.