Symmetry – Class 6 Mathematics Important Notes, Study notes of Mathematics

These notes cover Chapter 10: Mensuration for Class 6 Mathematics as per the updated NCERT syllabus. The notes include perimeter and area of rectangle, square, triangle, formulas, examples, and key points for exam preparation

Typology: Study notes

2025/2026

Available from 01/20/2026

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Symmetry – Class 6 Mathematics Important Notes (Updated
Syllabus)
Introduction
Symmetry means that an object can be divided into two equal and
identical halves. If both halves look exactly the same when folded, the
object is said to be symmetrical.
What Is Symmetry
A figure is symmetrical if one half is the mirror image of the other half.
Line of Symmetry
A line of symmetry is a line that divides a figure into two identical parts.
Examples:
Square → 4 lines of symmetry
Rectangle → 2 lines of symmetry
Circle → Infinite lines of symmetry
Triangle → 1 or more lines (depends on type)
Symmetry in Shapes
Square: 4 lines of symmetry
Rectangle: 2 lines of symmetry
Equilateral Triangle: 3 lines of symmetry
Isosceles Triangle: 1 line of symmetry
Scalene Triangle: No line of symmetry
Symmetry in Alphabets
English capital letters with symmetry:
Vertical line: A, M, T, U, V, W, Y
Horizontal line: B, C, D, E
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Symmetry – Class 6 Mathematics Important Notes (Updated Syllabus) Introduction Symmetry means that an object can be divided into two equal and identical halves. If both halves look exactly the same when folded, the object is said to be symmetrical. What Is Symmetry A figure is symmetrical if one half is the mirror image of the other half. Line of Symmetry A line of symmetry is a line that divides a figure into two identical parts. Examples:  Square → 4 lines of symmetry  Rectangle → 2 lines of symmetry  Circle → Infinite lines of symmetry  Triangle → 1 or more lines (depends on type) Symmetry in ShapesSquare: 4 lines of symmetry  Rectangle: 2 lines of symmetry  Equilateral Triangle: 3 lines of symmetry  Isosceles Triangle: 1 line of symmetry  Scalene Triangle: No line of symmetry Symmetry in Alphabets English capital letters with symmetry:  Vertical line: A, M, T, U, V, W, Y  Horizontal line: B, C, D, E

Reflection Reflection is the mirror image of a figure across a line of symmetry. Real-Life Examples of Symmetry  Butterfly wings  Human face  Leaves and flowers  Rangoli designs  Buildings and monuments Importance of Symmetry  Used in art and design  Makes objects attractive  Helps in understanding patterns Key Points to Remember  Symmetry means equal halves  Line of symmetry divides a figure into identical parts  Some shapes have more than one line of symmetry  Some shapes have no symmetry