It could be a trapezoid
square
No anwser impossible
A hexagon.
a rectangle
A kite would fit the given description.
shape no pairs of perpendicular sides
square
The first geometric shape that comes to mind with no perpendicular sides is a triangle.
A geometric shape with only one set of parallel sides is a trapezoid.
a Kite
No anwser impossible
A hexagon.
parallelogram
a rectangle
Hexagon.
A kite would fit the given description.
a cross