It is a quadrangle. However, not all quadrangles are squares, because to be a square all the sides and all the angles have to be equal. To be a quadrangle the figure simply has to have four sides (and therefore four angles), which may all be different.
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A square is both a quadrangle and a parallelogram.
A square
Quadrangle
A quadrangle is any 4 sided shape and 360 degrees in a square.
A quadrangle with two pairs of equal sides is a square.