Verify that the following process for constructing a perpendicular bisector is valid.
Let the segment have endpoints A and B. Adjust the compass for any radius greater than half the length of AB. Place the point of the compass at A and draw an arc. Then draw another arc of the same size at B. The line drawn through the points of intersection of these two arcs, C and D, is the desired perpendicular bisector.
Upper A
Upper B
Upper C
Upper D
Upper O