# Median of a segment: 6th grade math course in PDF.

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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:

Definition:

M is the middle of the segment [AB] means that :

1. the point M belongs to the segment [AB];
2. MA = MB ## II. The perpendicular bisector of a segment :

Definition:

The perpendicular bisector of a segment is the line that :

1. passes through the middle of the segment ;
2. is perpendicular to the segment . ## III. Construction Program:  Step 1 Choose a compass spacing greater than half the length of the segment. Draw an arc with center A, on each side of the segment.  Step 2 Keep the same spacing and draw an arc of circle with center B  Step 3 The arcs of circles intersect at two points. The median passes through these two points.

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.

Theorem:

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)

Reciprocal theorem:

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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