If P1, P2, . . . , Pn are the vertices of a regular polygon having n sides and if O is t...

If P₁, P₂, . . . , P_n are the vertices of a regular polygon having n sides and if O is the center of the polygon, show that The case n = 5 is shown in Figure 1.111. (Hint: Don’t try using coordinates. Use instead sketches, geometry, and perhaps translations or rotations.)