Fun with Symmetry | Maths Grade 4 CBSE

Play with it

Six symmetry ideas

Symmetry is about matching halves. Tap each term to see what it means, with an example.

Explore · Symmetrytap a term

Learn

The three big ideas

A shape has symmetry if you can fold it so the two halves match exactly.
The fold line is the line of symmetry.
A butterfly, a heart and the letter A each have a line of symmetry.

Worked example. How many lines of symmetry does a square have?

A square folds to match across 4 lines — top-to-bottom, side-to-side, and the two diagonals: 4 lines.

A mirror shows a reflection — the same picture, flipped left to right.
Hold a mirror on a line of symmetry and the half plus its reflection make the whole shape.
The letters b and d are mirror images of each other.

Worked example. If you place a mirror down the middle of the letter M, what do you see?

The half of M reflects to make the whole M again, so M has a line of symmetry down the middle.

Symmetry is everywhere in nature — leaves, flowers and the two sides of your face.
Many designs, like rangoli and patterns on cloth, are made to be symmetric.
Some shapes have more than one line of symmetry, and some have none.

Worked example. Does the letter R have a line of symmetry?

No fold makes the two halves of R match, so R has no line of symmetry.

Common mix-up: A line of symmetry must make the halves match EXACTLY. A line that splits a shape into two unequal parts is not a line of symmetry.

Where you’ll meet it

Symmetry around us

Nature’s designs

Butterflies, leaves and flowers are symmetric. Folding one in half shows the matching halves.

Art and rangoli

Rangoli, mehndi and border designs use symmetry to look balanced and beautiful.

Letters and signs

Some capital letters (A, H, M, T) are symmetric — spotting them is a fun symmetry hunt.

Check yourself

Quick quiz

Ten friendly questions — mostly multiple-choice with one assertion–reason — to check you can spot symmetry.

Score 0/10