A hexagon, for example, has six lines of symmetry. Three of them go to opposite vertices, and three go to opposite sides.
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It can certainly have 0, 1, 2 or 6 lines of symmetry.
triangle
a polygon
Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.
circle