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.

Median of a segment

2. construction of the perpendicular bisector with a ruler and a square

3. Construction with compass and ruler

construction of the bisector of a segment with a compass and a 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 \widehat{xOy} means that :

  • \widehat{xOz} and \widehat{zOy} are angles of the same measure;
  • \widehat{xOz}=\widehat{zOy}=\frac{\widehat{xOy}}{2}

Remark:

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

2.construction with ruler and protractor

construction with the ruler and the protractor of the bisector of an angle.

3.construction with ruler and compass of the bisector of an angle

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:

what to remember

  • 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.

Cette publication est également disponible en : Français (French) العربية (Arabic)

Télécharger puis imprimer cette fiche en PDF

Télécharger ou imprimer cette fiche «the median and the bisector: 6th grade math class.» au format PDF afin de pouvoir travailler en totale autonomie.


D'autres fiches dans la section 6th grade math class




Télécharger nos applications gratuites Mathématiques Web avec tous les cours,exercices corrigés.

Application Mathématiques Web sur Google Play Store.    Application Mathématiques Web sur Apple Store.    Suivez-nous sur YouTube.


D'autres articles analogues à the median and the bisector: 6th grade math class.


  • 95
    Addition and subtraction: 6th grade math lessons in PDF.A course onaddition and subtraction in the sixth grade. This lesson focuses on the operating techniques and vocabulary of addition and subtraction. Add and subtract in columns and rows. Operative techniques with a carry and calculate the sum or difference of two decimal numbers or two integers. This lesson is…
  • 94
    Perimeters and areas: 6th grade math lessons to download in PDF.This is a math course on duration, perimeter and area of figures in the 6th grade, studying the perimeter of a square, rectangle and circle. We will study the perimeter of a square, rectangle and a circle, the definition of area and the definition of particular polygons. Then, we will…
  • 94
    Circle: 6th grade math lessons to print in PDF.This sixth grade course is very interesting. Thus, in this lesson we will study vocabulary such as chord, arc and compass construction of circles as well as definition. The student must be able to construct this figure with a compass knowing the value of its radius and master all the…
Les dernières fiches mises à jour

Voici la liste des derniers cours et exercices ajoutés au site ou mis à jour et similaire à the median and the bisector: 6th grade math class. .

  1. Integrals : corrected high school math exercises in PDF.
  2. Intégrales : exercices de maths en terminale corrigés en PDF.
  3. الوظائف والحدود: تمارين الرياضيات في السنة النهائية مصححة بتنسيق PDF.
  4. Functions and limits: senior math exercises corrected in PDF.
  5. Fonctions et limites : exercices de maths en terminale corrigés en PDF.


Inscription gratuite à Mathématiques Web. Mathématiques Web c'est 2 146 109 fiches de cours et d'exercices téléchargées.

Copyright © 2008 - 2023 Mathématiques Web Tous droits réservés | Mentions légales | Signaler une Erreur | Contact

.
Scroll to Top
Mathématiques Web

FREE
VIEW