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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.
No
A parallelogram is a shape which has 2 pairs of parallel sides. In total it has 4 sides and Opposite angles of a parallelogram are equal.When all four sides of the parallelogram are equal, it becomes a rhombus.It is a special type of parallelogram since all 4 sides are equal, but it still has 2 pairs of parallel sides and opposite angles are equal.
Any parallelogram is also a quadrilateral.A rhombus is a parallelogram with all its sides of equal length.A rectangle is a parallelogram with each of its vertex angles equal to 90°.A square is a rectangle (and thus a parallelogram) with all its sides of equal length.