No. Not necessarily.
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A parallelogram with four right angles is a rectangle. It may also be a square,but not necessarily-- only if the sides are also of equal lengths
No, all sides are UNEQUAL. Nope, all different. All sides equal would be equilateral which means "equal sides"
A parallelogram where all sides are equal is a square.
Not unless all angles are also equal. A rhombus is a parallelogram with all sides equal. A rectangle is a parallelogram with all angles equal. A square is a rhombus with all angles equal which is a parallelogram with all sides equal and all angles equal.
a rectangle