Class 6 Mathematics

Chapter 13: Symmetry

STAGE 0: Foundation

Symmetry means balance 😊

If we cut an object into two equal halves that look exactly the same, it is symmetric.

Examples of symmetry around us:

Butterfly
Leaves
Human face
Flowers

STAGE 1: Concepts Explained

Line of Symmetry

A line of symmetry divides a figure into two identical halves.

Each half is the mirror image of the other.

Examples of Line of Symmetry

Square – 4 lines of symmetry
Rectangle – 2 lines of symmetry
Circle – Many lines of symmetry
Triangle – Depends on type

Reflection

Reflection means mirror image.

When a figure is reflected across a line, both sides look exactly the same.

STAGE 2: Solved Examples

Example 1:
How many lines of symmetry does a square have?

Solution:
A square has 4 lines of symmetry.

Example 2:
Name an object from daily life that shows symmetry.

Solution:
Butterfly.

Example 3:
Does a rectangle have symmetry?

Solution:
Yes, a rectangle has 2 lines of symmetry.

STAGE 3: Practice Questions

1. What is symmetry?
2. What is a line of symmetry?
3. How many lines of symmetry does a circle have?
4. Name any two symmetric objects around you.
5. Does a scalene triangle have a line of symmetry?

STAGE 4: Quick Revision

Symmetry means balance
Line of symmetry divides a figure equally
Square has 4 lines of symmetry
Rectangle has 2 lines of symmetry
Circle has many lines of symmetry

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