A four sided figure with no parallel sides is a trapezium, but it is also an irregular four-sided polygon, tetragon, quadrilateral, or quadrangle.
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A trapezoid is a four-sided figure with only one pair of parallel sides. A square will always have two pairs of parallel sides.
A quadrilateral (four-sided shape) is a parallelogram if it has two sets of parallel sides. If it has only one set, it is a trapezoid, also known as a trapezium.
Because, in this four sided figure, the opposite sides are parallel to each other.
Technically, yes - a trapezoid is a four-sided figure with two parallel sides. A rhombus is a four-sided figure with two pair of parallel sides. A rhombus might be described as a special trapezoid since it does have two parallel sides, but others might argue against such an interpretation.Likewise, a square could be described as a special rhombus (or a very special trapezoid), since a square is a four-sided figure with two pair of parallel sides AND four right angles.
A trapezoid (or trapezium, outside of North America) is a four-sided figure with two opposite sides that are parallel. Thus a trapezoid is a special type of quadrilateral, which is any four-sided figure. A quadrilateral is itself a special type of polygon, which is any figure with straight sides.