A square has four lines of mirror symmetry: the lines connecting the centers of opposite sides and the lines connecting opposite vertexes. A regular hexagon has six, with the same definitions.
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A regular hexagon has more than 4 lines of symmetry. Even number sided polygons that are regular and have more than 4 sides have more than 4 lines of symmetry. Circles have more than four lines of symmetry. Squares also have 4 lines of symmetry.
A decagon and any polygon above a pentagon has more than two lines of symmetry
A circle or sphere has an infinite number of lines of symmetry.
16 * * * * * Not sure what a rectangular octagon is but no kind of octagon has more than 8 lines of symmetry.
A right triangle doesn't necessarily have any lines of symmetry. But if it has, it can't have more than one.