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Yes, they can be. Here is an example to see how this is true. Construct two perpendicular lines AB and CD that intersect at a point O. Let AO = CO, BO = DO and AO ≠ BO, then ABDC forms an isosceles trapezoid. If the lines are not perpendicular, then also ABDC is an isosceles trapezoid and it has perpendicular diagonals.

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Do trapezoids have perpendicular diagonals?

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Do trapezoids have perpendicular sides?

Trapezoids do not have perpendicular lines.


Do trapezoids have congruent diagonals?

Not necessarily.


How diagonals are congruent?

If they are equally long such as the diagonals of rectangles and isosceles trapezoids.


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.


Is diagonals of an isosceles trapezoids congruent?

Yes.


Are the diagonals of a rhombus perpendicular?

Yes, the diagonals of a rhombus are perpendicular.


Are diagonals of any trapezoid are congruent?

Only the diagonals of isosceles trapezoids are congruent.


Are all diagonals perpendicular in all parallelograms?

No, not all diagonals are perpendicular in all parallelograms. In general parallelograms, the diagonals bisect each other but are not necessarily perpendicular. However, in specific types of parallelograms, such as rhombuses, the diagonals are indeed perpendicular. Thus, the property of perpendicular diagonals is not a characteristic of all parallelograms.


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.