If it is a polygon with an even number (>2) of vertices, join any two pairs of opposite vertices. These lines will meet in the centre.
If it is a polygon with an odd number (>1) of vertices, join any two vertices to the midpoints of the opposite sides. These lines will meet in the centre.
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the point that is equidistant from all vertices of a polygon.
Apothem!
Apothem.
Apothem.
Yes.