Parrallelogram (it has rotational symmetry but no lines of symmetry)
YES, a quadrilateral does have a line of symmetry.
A trapezoid is the only quadrilateral with one line of symmetry.
Right triangles can have only one line of symmetry. Only right triangles with two 45 degree angles can have a line of symmetry.
A quadrilateral is a shape with four sides.
A kite, for example.
There is no quadrilateralthat has 1 line of symmetry as quadrilaterals have to have at least 1 line of symmetry.
A parallelogram has no lines of symmetry, but it has rotational symmetry.