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Equilateral parallelograms.

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Q: What parallelogram's have perpendicular diagonals?
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Related questions

Do all parallelograms have diagonals that are perpendicular?

No.


Is the diagonals of a parellelogram perpendicular?

That is true for some parallelograms but not all. For example, the diagonals of a rhombus, kite or square are perpendicular, but those of a rectangle or general parallelogram are not.


In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpendicular. what could it be?

Parallelogram and a rectangle


Are diagonals equal in a parallelograms?

No. No. No. No.


Are the diagonals of a rectangle sometimes always or never perpendicular?

The diagonals of a rectangle are never perpendicular but the diagonals of a square are perpendicular


What diagonals are always perpendicular?

The diagonals of a square are always perpendicular.


Are the diagonals of a rhombus perpendicular?

Yes, the diagonals of a rhombus are perpendicular.


Do parallelograms have congruent diagonals?

Some of them (rectangles) do.


Do all parallelograms have diagonals which bisect?

Yes; all parallelograms have diagonals that bisect each other. Other properties of parallelograms are: * The opposite sides are congruent. * The opposite sides are parallel. * The opposite angles are congruent.


Do all parallelograms have perpendicular diagonals?

No. Most parallelograms do not have perpendicular angles. When a parallelogram has perpendicular angles, it's classified as a Rhombus. Rhombi are special parallelograms in that all four sides are of equal length, and it is because these sides are all of equal length that the rhombus achieves diagonal perpendicularity. (See diagram in the "sources and related links" below) Should one set of parallel lines be longer or shorter than the other set, the parallelogram skews, or "Squishes," which "bends" the interior angles of the intersect of the diagonals--that is, one set of vertically opposite angles becomes acute, the other, obtuse.


Are the diagonals of a rhombus sometimes perpendicular?

A rhombus has 4 equal sides and the diagonals are always perpendicular


Are the diagonals of a rhombus are always perpendicular?

No. The diagonals of a rhombus are perpendicular only if the rhombus is a square.