perpendicular
No.
Not usually.
The diagonals of an isosceles trapezoid are equal in lengths but are not perpendicular to each other at right angles.
Oh, dude, no way! Diagonals of a trapezoid are not necessarily perpendicular. It's like saying all cats are secretly plotting to take over the world - just because they're diagonal doesn't mean they're perpendicular, you know what I mean? So yeah, diagonals of a trapezoid can be any ol' angle they want, they don't have to be all right angles and stuff.
no it does not
No.
perpendicular
No.
Not usually.
The diagonals of an isosceles trapezoid are equal in lengths but are not perpendicular to each other at right angles.
yes.
Oh, dude, no way! Diagonals of a trapezoid are not necessarily perpendicular. It's like saying all cats are secretly plotting to take over the world - just because they're diagonal doesn't mean they're perpendicular, you know what I mean? So yeah, diagonals of a trapezoid can be any ol' angle they want, they don't have to be all right angles and stuff.
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.