I would think it would have two. One horizontal and one vertical.
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A regular octagon has 8 lines of symmetry.
It has one vertical line of symmetry
Some people make the mistake of thinking a square has 8 lines of symmetry, however it actually has 4 lines of symmetry. An equilateral triangle has 3 lines of symmetry.
A regular octogon has 8 lines of symmetry. * * * * * An irregular octagon can have 0, 2 or 4.
8 has lines of symmetry.