# Axial symmetry and center of symmetry: 6th grade math lesson.

Axial symmetry with a 6th grade math lesson involving the perpendicular bisector of a segment as well as the definition and conservation properties of angle measures, lengths and perimeters and areas of figures.
The construction of the symmetrical of a point of a line, of a figure with respect to an axis.

## I. Symmetrical figures

Definitions:

Two figures are symmetrical about a line if they overlap by folding along that line.

This line is called theaxis of symmetry.

## II. Symmetric of a point.

### 1. definition of the symmetric.

Definitions:

The symmetric of a point A with respect to a line (d) is the point A’, such that the line (d) is the perpendicular bisector of the segment [AA’] (i.e. such that (d) is the perpendicular to the segment [AA’] in its middle).

## III. Properties of axial symmetry

Ownership:

The symmetric of a line about an axis is a line.

Axial symmetry preserves the alignment.

Property : symmetrical of a segment.
The symmetry of a segment about an axis is a segment of the same length.
Axial symmetry preserves lengths.

Remark:

The symmetric of the middle of a segment is the middle of the symmetric segment.

Ownership:

The symmetry of a circle about an axis is a circle of the same radius. The centers of the circles are symmetrical about this axis.

Examples:

Ownership:
Axial symmetry preserves angle measures, perimeters and areas.
Ownership:

To construct the symmetric of a complex figure, we break it down into usual figures and construct the symmetric of each of them.

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

You have the possibility to download then print this document for free «axial symmetry and center of symmetry: 6th grade math lesson.» in PDF format.

## Other documents in the category 6th grade math lessons

Download our free apps with all corrected lessons and exercises.

## Other forms similar to axial symmetry and center of symmetry: 6th grade math lesson..

• 99
Math worksheets in the 9th grade on geometry in space and section of solids with volume calculations. You can download these exercises in PDF format to work at home after printing them, the correction is detailed for the third level. Exercise 1 - Volume and mass of a gold bar…
• 98
Math worksheets on probability in ninth grade (9th) to download for free in PDF. Exercise 1 - Probability tree The tree below gives the probabilities associated with a random experiment with two trials. A, B, C, D, E, F are six events that can be realized during one of the…
• 98
Math worksheets in the 9th grade (ninth) on inequations. Solve inequalities of the first degree with one unknown using the different rules of calculation and then represent the solution set on a graduated line. Exercise 1 - Solve the following inequalities a. b. c. Exercise 2 - Equations to solve…

Les dernières fiches mises à jour.

Voici les dernières ressources similaires à axial symmetry and center of symmetry: 6th grade math lesson. mis à jour sur Mathovore (des cours, exercices, des contrôles et autres), rédigées par notre équipe d'enseignants.

On Mathovore, there is 13 703 985 math lessons and exercises downloaded in PDF.

Categories Uncategorized
Mathovore

FREE
VIEW