Mathematics · Class 6
Symmetry
Line symmetry, mirror images, and symmetric figures.
4 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Symmetry means one half of a figure is the mirror image of the other. You study line symmetry, axes of symmetry, and symmetric patterns in rangoli, architecture, and nature.
Line Symmetry
- Line of symmetry divides figure into mirror halves
- Fold along line — both halves coincide
- Square has 4 lines of symmetry
Symmetry in Regular Figures
- Equilateral triangle: 3 lines of symmetry
- Rectangle: 2 lines of symmetry
- Circle: infinite lines through centre
Applications
Rangoli designs, Taj Mahal facade, butterfly wings show symmetry. Designers use symmetry for balance and beauty.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Lines of Symmetry
How many lines of symmetry does an equilateral triangle have?
- 1One from each vertex to midpoint of opposite side
Answer
3 lines of symmetry
Example 2: Identify Symmetry
Does the letter 'A' have vertical line symmetry?
- 1Fold mentally along vertical line through centre
Answer
Yes, one vertical line of symmetry
Key Points to Remember
- ✓ Regular polygons have symmetry equal to number of sides
- ✓ Some figures have no line symmetry
- ✓ Rotational symmetry comes in higher classes
Exam Tips
- • Draw dotted symmetry lines on figures
- • Count carefully — don't miss diagonal lines
Practice MCQs — Symmetry
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
A square has how many lines of symmetry?