Construct square [math]ABCD[/math] inscribed in circle [math]O[/math].
[list=1] [*]Construct circle [math]O[/math]. [*]Label a point on the circle point [math]A[/math]. [*]Construct the diameter of the circle. [*]Construct the perpendicular bisector of [math]\overline{AC}[/math]. Label the points [math]B[/math] and [math]D[/math]. [*]Construct the sides of the square. Do not erase any of your markings. Quadrilateral [math]ABCD[/math] is a square inscribed in circle [math]O[/math]. [/list]