What Is Symmetry Class 6 Maths: Definition and Examples

Definition of Symmetry in Class 6 Maths

Symmetry in maths means a figure or shape can be divided into two parts that are mirror images of each other. The dividing line is called the line of symmetry or axis of symmetry. When you fold the shape along this line, both halves match exactly.

For example, a square has four lines of symmetry because it can be folded along four different lines, and both sides will overlap perfectly.

In Class 6 NCERT maths, understanding symmetry helps students identify balanced shapes and solve related problems easily.

Types of Symmetry Explained

There are mainly two types of symmetry studied in Class 6:

• Line Symmetry (Reflection Symmetry): When a figure can be folded along a line so that both halves match exactly. The line is called the line of symmetry.
• Rotational Symmetry: When a figure can be rotated (turned) around a point by less than 360° and still look the same.

Examples:

• A butterfly has line symmetry because its wings are mirror images.
• A star shape often shows rotational symmetry.

Understanding these types helps in identifying symmetry in various shapes and objects.

How to Identify the Line of Symmetry

To find the line of symmetry in a shape:

1. Fold the shape on paper and check if both sides overlap exactly. 2. Draw a line where the fold is made. 3. Confirm that every point on one side matches the point on the other side.

Worked Example:

Consider an equilateral triangle. Fold it along a line from one vertex to the midpoint of the opposite side. Both halves match, so this line is a line of symmetry.

Most regular polygons have multiple lines of symmetry equal to the number of sides.

Symmetry in Everyday Objects

Symmetry is everywhere around us. Recognizing symmetry helps understand patterns in nature and design.

• Leaves: Many leaves have a central line of symmetry.
• Human face: Generally shows approximate symmetry.
• Buildings and Art: Symmetrical designs are pleasing and balanced.

By observing symmetry in daily life, students can relate maths concepts to the real world, making learning easier and more interesting.

Comparison of Symmetry Types

Here is a simple comparison of line symmetry and rotational symmetry:

Understanding these differences helps classify shapes correctly.

Solved Example: Finding Lines of Symmetry

Problem:

How many lines of symmetry does a regular hexagon have?

Solution:

A regular hexagon has 6 equal sides and angles.

• Each line of symmetry passes through one vertex and the midpoint of the opposite side.
• Therefore, a regular hexagon has 6 lines of symmetry.

This example shows how symmetry depends on the shape’s properties and helps in solving NCERT questions.