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I. Middle:
M is the middle of the segment [AB] means that :
- the point M belongs to the segment [AB];
- MA = MB
II. The perpendicular bisector of a segment :
The perpendicular bisector of a segment is the line that :
- passes through the middle of the segment ;
- is perpendicular to the segment .
III. Construction Program:
Application:
or AB= 7 cm
Construct with the ruler and the compass the middle I of the segment [AB] as well as its perpendicular bisector.
IF the point M belongs to the bisector of the segment [AB],Then M is equidistant from the points A and B (i.e. MA=MB)
IF the point M is equidistant from the points A and B (i.e. if MA=MB),Then M belongs to the bisector of the segment [AB]
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