Is this statement true or false? The center of a regular polygon is the point that is equidistant from the midpoints of the sides of the polygon.

This statement is false! The center of a regular polygon is actually the point that is equidistant from all the vertices of the polygon, not just the midpoints of the sides. Think of it as the bullseye in a dartboard; no matter where you throw your darts (or vertices), they all aim toward that central spot! When exploring regular polygons, remember that their symmetry is key! Each vertex and each side contributes equally to the polygon's balance, so the actual center ties together all those vertices. It’s like the heart of the geometric family!