I°) Definition
The bisector of segment [AB] is the line perpendicular to this segment in its middle I. 
II°) Construction with compass.
| A and B are any two points of the plan | |
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Draw the circle C1 with center A and radius R such as : R > AB/2
Draw the circle C2 of center B and the same radius The two circles intersect at I and J |
The bisector of a segment is the set of points equidistant from the ends of this segment. For every point M of the mediator, we have MA = MB
Conversely:
If we know that MA = MB, we can say that M is the mediator of [AB].
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