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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.
It could be an irregular hexagon: for example, a regular hexagon that has been stretched along one diagonal.It could be an irregular hexagon.
There could be many answers to this. If were thinking in terms of geometry: a triangle has between 1 and 3 lines of symmetry a square will always have 4 lines of symmetry. Irregular shapes might have a single line of symmetry. For instance, a building may have a single line of symmetry. a line between two points may only have one line of symmetry. because it is only 2 dimensions, it is impossible for it to have more than one line of symmetry.
It is difficult to illustrate the answer but I'll try a description. Start with a regular hexagon. All sides equal, all angles equal, six lines of symmetry. Squash the top down so that the middle vertices spread outwards. You will now have a shape with two lines of symmetry: one horizontal: halfway up the hexagon and one vertical: halfway across. Now take a chunk out of the middle of the top (or bottom, but not both) side and re-join the ends. That will get rid of the horizontal line of symmetry and all you are left with is the one vertical line.
A regular hexagon has three pairs of parallel sides. An irregular hexagon can have two, one or none.