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

6th grade math lessons Report an error / Note? 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). ### 2. Construction of the symmetric with the square and the graduated rule. ### 3. Construction of the symmetric with the compass. ## 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:

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.

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

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