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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.
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Do all parallelograms have diagonals that are perpendicular?
No.
What parallelogram's have perpendicular diagonals?
Equilateral parallelograms.
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.
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.
What is the counterexample of all parallelograms have congruent diagonals?
Tiiangle
