Class 6 Maths - HARYANA

Symmetry

The chapter 'Symmetry' in Class 6 Mathematics for Haryana (BSEH) students introduces the fundamental geometric concept of balance and reflection. Students learn to identify lines of symmetry in various 2D shapes, understand how shapes mirror each other across a dividing line, and create symmetrical patterns. This chapter builds spatial visualization skills which are essential for advanced geometry. In BSEH board examinations, questions from this chapter are scoring, straightforward, and frequently appear as short-answer questions, drawing tasks, and objective MCQs. Mastering symmetry helps students connect classroom geometry with beautiful patterns seen in nature, architecture, and everyday art.

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Key Concepts

Line of Symmetry

A line that divides a figure into two identical halves that match up completely when folded along the line.

Symmetrical Figures

Shapes or objects that can be folded or divided into two identical and matching halves.

Non-Symmetrical Figures

Shapes that cannot be divided into two identical halves by any line.

Multiple Lines of Symmetry

Some special shapes, like a square or a circle, can have more than one line of symmetry passing through them.

Reflection Symmetry

The property where one half of an image is the exact mirror image of the other half across a mirror line.

Important Formulas

A line of symmetry divides a shape into two congruent (identical) halves.
Number of lines of symmetry: Square = 4, Rectangle = 2, Equilateral Triangle = 3, Circle = Infinite.

Board Exam Info

In the Haryana (BSEH) Class 6 Mathematics exam, the chapter on Symmetry usually carries around 4 to 6 marks. Common question types include drawing lines of symmetry for given figures (like letters of the alphabet, geometric shapes), identifying whether a shape is symmetrical, and completing symmetrical patterns on grid paper.

Frequently Asked Questions

What is a line of symmetry?

A line of symmetry is an imaginary line that cuts a shape into two exact mirror-image halves.

Do all shapes have a line of symmetry?

No, some irregular shapes do not have any line of symmetry, while others may have one, two, or even multiple lines of symmetry.

How many lines of symmetry does a circle have?

A circle has an infinite number of lines of symmetry because any line passing through its center will divide it into two identical halves.

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