Yes, a lozenge shape.
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No
No, a parallelogram is not always a square, but a square is a parallelogram.
Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
Two isosceles right triangles, if joined hypotenuse-to-hypotenuse will make a square. Two squares, sided by side, make a rectangle which is a parallelogram, and not a square.
No, a parallelogram is not necessarily square.However, by definition, a square is always a parallelogram.