No, they are just bisectors.
The angle between them is not (usually) the 90o required to be perpendicular.
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A parallelogram is a rhombus if and only if the diagonals are perpendicular
Yes
The diagonals of a square are perpendicular (they intersect and form right angles). But they are angles bisectors since they bisect each pair of opposite angles. A perpendicular bisector actually bisects a side of a figure.
diagonals are perpendicular
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.