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The diagonals of a parallelogram are congruent (equal in length) and bisect each other.

Q: The diagonals of a parallelogram must be what?

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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

Related questions

No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).

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.

rhombus

They become the diagonals of a parallelogram.

It is a rhombus

No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.

They must be otherwise they would not be diagonals.

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

The diagonals of a parallelogram are parallel and the same length.

No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.

diagonals.