a vague answer would be polygon, parallelogram, and quadrilateral. there are also squares, rectangles, rhombuses, and trapezoids.
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A 4 sided shape is classified as a quadrilateral.
4-sided shapes, because if you think about it, triangles (3-sided shapes) aren't that varied in sizes and types. 4-sided shapes can be as crazy as possible, so... yeah. 4-sided shapes are definitely more varied in drawing forms.
Quadrilaterals.
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It is called a square or a rectangle, however a rectangle is just a streched square.