An equilateral triangle
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Triangle * * * * * The only triangle with rotational symmetry of order 3 is an equilateral triangle and that has 3 lines of symmetry, not 0. The triskelion (the three legs) on the Isle of Man flag has rotational symmetry of order 3 but no lines of symmetry.
If the shape has three straight lines and no other lines then it has to be a triangle
There are 3 lines of symmetry ina 6-sided shape.
hectagon
A hexagon.