I believe that there is no such shape.
The shape that has no lines of symmetry and 2 pairs of parallel sides is a trapezoid. A trapezoid is a quadrilateral with at least one pair of parallel sides, and it does not have any lines of symmetry due to its asymmetrical nature. The two non-parallel sides of a trapezoid are typically of different lengths, further emphasizing its lack of symmetry.
An isosceles trapezoid.
Hexagon
Irregular shapes have NO lines of symmetry and all the sides are not the same. A regular shape WILL have lines of symmetry and all the sides are the same. * * * * * Wrong! A kite, for example, is an irregular but it has reflective symmetry. A parallelogram is an irregular quadrilateral but has rotational symmetry.
A rectangle.
Rectangle
An irregular quadrilateral.
Try one of these: rhombus, parallelogram, square, rectangle
no shape does! * * * * * Not true. A parallelogram has rotational symmetry of order 2, but no lines of symmetry.
A rectangle has exactly 2 lines of symmetry
a square