 # The median and the bisector: 6th grade math class.

A 6th grade math lesson on the bisector and the median with definitions and properties.
In 6th grade, we usually study the bisectors of a segment as part of the study of triangles. We learn that the perpendicular bisector of a segment is a line that passes through the middle of the segment and is perpendicular to it. We also learn that the perpendicular bisector divides the segment into two equal parts, and that it is also the bisector of the angle. One can also learn to draw the bisector of a segment using a ruler and a compass, using the properties mentioned above.
In this lesson we will study the properties and the different steps of construction. The student will need to know how to construct the perpendicular bisector of a segment using a ruler and compass and the bisector of an angle. The equidistance properties will need to be mastered in order to perform demonstrations in geometry in sixth grade and throughout your schooling.

## I. Median of a segment

### 1.Definition:

Definition:

The perpendicular bisector of a segment is the line that passes through the middle
of this segment and which is perpendicular to this segment.

Ownership:

Any point M located on the bisector of a segment [AB] is equidistant from the vertices A and B. So we have AM=AB. ### 2. construction of the perpendicular bisector with a ruler and a square ### 3. Construction with compass and ruler ## II. Bisector of an angle

### 1.Definition

Definition:

The bisector of an angle is the half line that divides this angle
into two angles of the same measure .

Example:

[Oz) is the bisector of means that :

• and are angles of the same measure;
• = = Remark:

The bisector of an angle is the axis of symmetry of that angle.

### 2.construction with ruler and protractor ### 3.construction with ruler and compass of the bisector of an angle ## Did you learn about the perpendicular bisector of a segment and the bisector of an angle in 6th grade?

La médiatrice et la bissectrice

Un QCM de maths sur la médiatrice et la bissectrice en 6ème.

Things to remember:

Skills to assimilate the median and bisector: • To draw these two lines using geometry equipment (ruler, square and compass).
• Know the properties of these two lines;
• Know the symbol for equidistance, appearance and notation of angles.

This course is in accordance with the official programs of thenational education.

In addition, you can continue with the exercises on the bisector of an angle in the sixth grade.

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