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A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.
A square has 2 pairs of opposite parallel lines.
There are 2
4 lines
there are 2 sets of parallel lines in a square