The Perpendicular Bisector (and midpoint) of a segment with ruler and compass

Observe in the figure above how you can build, with just a ruler and a compass, the perpendicular bisector of a segment.[br][list=1][*]Build it on the figure below, using the tools at the top.[br][/*][*]How would you define the [i]perpendicular bisector[/i] of a segment? Is the line located where?[br][/*][*]Shift the ends of the initial segment and check that the construction maintains its validity.[br][/*][*]Draw a point on the perpendicular bisector and measure its distance to the two ends of the initial segment. What do all the points of the perpendicular bisector of a segment meet[/*][/list]

Information: The Perpendicular Bisector (and midpoint) of a segment with ruler and compass