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A polygon is a parallelogram if its opposite sides are parallel. No more request.
A polygon is a square if it's a parallelogram with equal sides and angles
A polygon is a rhombus if it's a parallelogram with equal sides.
A polygon is a square if it's a parallelogram with equal angles.
So, we have to build a figure whose opposites sides are parallel. but:
- Its sides must not have the same length (otherwise it would be a rhombus, and possibly a square)
- Its angles must not be right (otherwise it would be a rectangle)
For example, if you pick the points

And connect them, you'll have a paralleloram that is neither a square, rhombus nor rectangle.