Oh, isn't that a happy little question! In a trapezoid, the diagonals are not always perpendicular, but sometimes they can be. It all depends on the specific angles and lengths of the sides of the trapezoid. Just like in painting, every trapezoid is unique and beautiful in its own way.
Not usually.
perpendicular
No.
Not usually.
The diagonals of an isosceles trapezoid are equal in lengths but are not perpendicular to each other at right angles.
no it does not
Not usually.
No.
No.
perpendicular
Not usually.
The diagonals of an isosceles trapezoid are equal in lengths but are not perpendicular to each other at right angles.
yes.
rectangleA trapezoid will also suffice.
rectangleA trapezoid will also suffice.
sometimesImproved Answer:-Never
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.