The diagonals of a parallelogram are congruent (equal in length) and bisect each other.
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true.
Not necessarily. But a parallelogram with perpendicular diagonals must always be one.
If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. If the diagonals are not congruent but are perpendicular bisectors of each other then the figure would be a rhombus.
No. It is false. If both of those conditions are met, then the quadrilateral is a square.
you find the first point