A 4-sided polygon with four or three sides of different lengths can readily be constructed so that no two sides are parallel. The shapes so obtained will not have an axis of symmetry.
However, a kite is a quadrilateral having two pairs of adjacent sides of equal length but does not have any parallel sides. It is symmetrical about its long axis.
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A square is a four-sided polygon with two congruent parallel sides.
A four-sided polygon with opposite sides parallel and all sides congruent is a square.
NO!!!! A parallelogram is a polygon of four sides. The opposite sides are parallel and equal in length.
Some types of quadrilaterals don't have parallel sides. Such as a diamond or a kite.
That would have to be a trapezoid