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**Median of a segment**with this 6th grade math course, you will progress and fill in your gaps on the median in 6th grade. Review the methods of construction with the ruler and compass and the property of points belonging to the median.

## 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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