Q: Are diagonals on a parallelogram perpendicular bisectors?

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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.

False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.

diagonals are perpendicular

Related questions

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.

It is a rhombus

square

True, the diagonals of a rhombus are perpendicular bisectors of one another.

A parallelogram is a rhombus if and only if the diagonals are perpendicular

Perpendicular bisectors of each other.

The diagonals of a parallelogram will always bisect each other. ■

Yes

A square.

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.

rhombus