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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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Earn +20 ptsQ: Are a trapezoid's diagonals ever perpendicular?
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Continue Learning about Geometry
Do trapezoids have perpendicular sides?
Trapezoids do not have perpendicular lines.
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
Are the diagonals of a rhombus perpendicular?
Yes, the diagonals of a rhombus are perpendicular.
Does a rhombus have perpendicular?
The diagonals of a rhombus are perpendicular
Does a rhombus have perpendicular diagonals?
Yes the perpendicular diagonals intersect at right angles or 90 degrees
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