Theorem:
The Midpoint Theorem: ( The Definition of Midpoint)
Given AB, its midpoint M is:
2AM = AB and AM = ½ AB
2MB = AB and MB = ½ AB
A perpendicular bisector of a segment is a line, ray or another
segment that is perpendicular to the segment at its midpoint.
Theorem:
If a point lies on the perpendicular bisector of a segment, then
the point is equidistant from the endpoints of the segment.
Theorem:
If a point is equidistant from the endpoints of a segment, then
the point lies on the perpendicular bisector of the segment.
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