A rhombus or a parallelogram
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A square is a four sided shape but generically they are called Quadrilaterals.
a quadrilateral
You mean a parallelogram? That's the more stereotyped name for the shape you're describing, although the term "parallelogram" covers all 4 sided shapes that have 2 sets of parallel sides. (An example of an exception is a trapezoid.)
irregular quadrilateral
. square, .rectangle, A name for any four sided shape is a quadrilateral..