This is a parallelogram.
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square
A trapezoid.
Parrallelogram (it has rotational symmetry but no lines of symmetry)
There are no lines of symmetry; However, the lines opposite are parallel to each other
A general trapezoid is a 4 sided quadrilateral with a pair opposite parallel lines of different lengths and no lines of symmetry But an isosceles trapezoid has the same properties as above except that it has 1 line of symmetry