an non symmetrical 4 sided shape such as a Rhombus or a Trapezoid
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An irregular polygon is a polygon in which all of the sides and angles are not the same.
scalene triangle,circle,a polygon of iregular shape
It is an inscribed quadrilateral or cyclic quadrilateral.
It is simply a quadrilateral - there is no special name for such a quadrilateral.
It is an arrowhead quadrilateral