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no, but a square can be called a rectangle.
A square and a trapezoid
A square can be a rectangle because a rectangle just has to have four sides and they all have to have right angles, which a square does. But a rectangle can never be a square because a square HAS to have ALL EVEN sides with all right angles. A rectangle possibly could not have all even sides.
A rectangle that is not square is an "oblong". Or you could say a "box".
Really, no parallelogram is a rectangle as it's slanted. A rectangle had four right angles with two sets of two sides that are the same. Yes, a square is a rectangle, but it's a special kind of rectangle. What I think you're talking about is a rhombus, or a parallelogram with four equal sides. it's basically a slanted square, but is not classified as a square.