It can, but need not.
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A hexagon can have 0, 1, 2, 3 or 6 lines of symmetry.
A regular 6 sided hexagon has 6 lines of symmetry
In general, none. If all the sides of a hexagon were of different length it would have no symmetry.
A regular hexagon has 6 but a hexagon can have 0, 1 or 2 axes of symmetry. It cannot have 5. Not sure about 3 or 4.