Linear Symmetry

What is a linear symmetry?

It is type of symmetry in which a line is drawn from the middle of the figure.

The two parts of the figure coincide, then each part is called the mirror image of the other i.e., the part of the figure on one side of the dotted line falls exactly over the other part which lies on the side. Such a figure is called a symmetrical figure.

The line which divides the figure into two equal parts is called the line of symmetry or axis of symmetry.

Shapes or figures may have horizontal, vertical, both horizontal and vertical, infinite and no line of symmetry.

Examples of the different types of pictures of horizontal line of symmetry, vertical line of symmetry, both horizontal and vertical lines of symmetry, infinite lines of symmetry and no line of symmetry.

Vertical Line of Symmetry
 Horizontal Line of Symmetry
No Line of Symmetry
Both Vertical and Horizontal  Lines of Symmetry
Infinite Line of Symmetry

Examples of the shapes or figures may have 1, 2, 3, 4, 0 and so on or infinite lines of symmetry.

Lines of Symmetry

Isosceles triangle has two sides equal and two angles equal showing one line of symmetry.

Rectangle has opposite sides equal and all the angles 90° showing two lines of symmetry.

Equilateral triangle have all three sides equal and all three angles equal showing three lines of symmetry.

Square have all four sides equal and all angles 90° showing four lines of symmetry.

Parallelogram has opposite sides equal and parallel sides equal showing no line of symmetry.

Circle showing infinite lines of symmetry.

Related Concepts

Lines of Symmetry

Point Symmetry

Rotational Symmetry

Order of Rotational Symmetry

Types of Symmetry


Reflection of a Point in x-axis

Reflection of a Point in y-axis

Reflection of a point in origin


90 Degree Clockwise Rotation

90 Degree Anticlockwise Rotation

180 Degree Rotation

7th Grade Math Problems

8th Grade Math Practice

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