It has four sides.
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A parallelogram is a quadrilateral with 2 pairs of parallel sides. Examples of such are rectangle, square, rhombus or diamond shape.
Actually, it depends on the kite maker. It may be quadrilateral in shape, as you asked. It can also be square. It can be a triangle, like the Chinese make it, or it can be any fancy shape.
= Parallelograms look like rectangles, squares, and quadrilateral. =
A square
It is a quadrilateral shape because it has 4 sides and it has 2 pairs of adjacent sides that are equal with 1 pair of opposite angles being equal and its diagonale are perpendicular.