There are infinitely many such shapes. To start with, any regular will do.
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It is a line through the point of symmetry. In general it is not an axis of symmetry.
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An octagon is a 2-dimensional figure, not a line of symmetry. However, it has several lines of symmetry.
A line of symmetry, or axis of symmetry.
It is called line symmetry when we can actually draw a line down the middle of a figure that divides the figure into two mirror images.