A shape with three or more sides is a polygon. Not sure there is a special name for 4 or more sides.
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PentagonsHexagonsOctagonsDecagons
in 2d shapes a quadrilateral
Polygon means many sides and is the name given to shapes that have 3 or more sides and a parallelogram is a 4 sided poylgon or a quadrilateral
Any polygon with more than 4 sides.
Shapes that do not have 4 sides are not 4 sided quadrilaterals.