Arena used a quadrilateral in her art design the quadrilateral has no sides courgent and only one pair of opposite sides parallel classify 6the shape of the quadrilateral she used

A quadrilateral with one pair of parallel sides is a trapezoid.
If it has two pairs of parallel sides it is a parallelogram, but parallelograms are also trapezoids in the same way that dogs are also mammals.

A parallelogram has two pairs of congruent sides. (They may all be congruent, in which case it is a rhombus, but a rhombus is also a parallelogram in the same way that a poodle is also a dog). Therefore the shape you describe is not a parallelogram.

If the two nonparallel sides of a nonparallelogram trapezoid are congruent, it is called an isosceles trapezoid, otherwise "scalene". The shape you describe is a scalene trapezoid; this may be what you want.

However, technically it is still not quite there, because this terminology does not deal with the question of whether one of the nonparallel sides is congruent to one of the parallel sides. For instance, the trapezoid with vertices (0,0),(2,0),(1,2) and (0,2) is scalene but has congruent sides.