For a polygon with an even number of vertices
For a polygon with an odd number of vertices
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You need to find a straight line which passes through the centre of the polygon, and is such that the parts of the polygon on one side of it are exactly reflected by points on the other side.
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As the name suggests, they are polygons that have one or more lines of symmetry or rotational symmetry of order two or more. A symmetric polygon is not the same as a regular polygon.
a polygon
A triangle has 3 lines of symmetry.
There is no sensible answer. A regular polygon with n sides has n lines of symmetry, and n can be increased without limit. However, as n approaches infinity, the polygon approaches a circle and a circle is not a polygon.