None, but u can draw two perpendiculars.
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Can have no pairs or one pair...
The only requirement for a trapezoid is that one pair of opposite sides be parallel. There could be trapezoids with a pair of perpendicular lines.
A right trapezoid has exactly one pair of perpendicular lines and is a quadrilateral.
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.
It doesn't need any in order to be a trapezoid. It can have a max of two pairs of perpendicular sides.