A rectangle.
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square, rhombus, rectangle, and parallelogram.
4 corners(angles).
A parallelogram has 2 pairs of parallel sides, and provided that it isn't a square, it has no square corners. If necessary, you could call it an "oblique parallelogram" to indicate that it isn't square.
It has 4 corners and 4 sides because it is a quadrilateral polygon
A diamond, or mathematically correct a parallelogram or tilted square. You may also be thinking of a trapezoid.