if all of the side are equal to each other, then it will have rotational symmetry. this means that if you stick a line through it and goes through the center, then it is a line of symmetry.
the answer is infinity.
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A hendecagon can have upto 5 pairs of parallel lines.
4 Lines of symmetry
2 lines OF SYMMETRY
There is no such thing as 8 lines of symmetry. A circle, for example, has infinitely many lines of symmetry.
a cylinder has 29 lines of symmetry!