NCERT Solutions for Class 6 Maths Chapter 13

NCERT Solutions for Class 6 Maths Chapter 13 – Symmetry 

Symmetry provides accurate and comprehensive answers to every question present at the end of the chapter in the NCERT book. 

NCERT Solutions are provided to make the study simple and interesting. Every student needs to have a good understanding of all concepts to be able to score high marks in exams. NCERT Solutions by Extramarks prepares them for the same. Prepared by subject matter experts as per the CBSE guidelines, the solutions help students understand the right manner to answer a question, which in turn helps them perform better in the exams.

NCERT Solutions Class 6 Maths Other Related Chapters

NCERT Solutions Class 6 Maths Chapter-wise List
Chapter 1 – Knowing Our Numbers
Chapter 2 – Whole Numbers
Chapter 3 – Playing with Numbers
Chapter 4 – Basic Geometrical Ideas
Chapter 5 – Understanding Elementary Shapes
Chapter 6 – Integers
Chapter 7 – Fractions
Chapter 8 – Decimals
Chapter 9 – Data Handling
Chapter 10 – Mensuration
Chapter 11 – Algebra
Chapter 12 – Ratio and Proportion
Chapter 14 – Practical Geometry

NCERT Solutions for Class 6 Maths Chapter 13 

Symmetry is a relatively new concept for Class 6 students. The accurate and reliable solutions by Extramarks will make exam preparation and revision easy for students.

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry – Topic-Wise Discussion

Symmetry in everyday language refers to a sense of harmonious, proportionate balance. In Maths, it has a more precise meaning and is usually used to refer to an object that remains invariant under some transformations, including rotation, translation, reflection or scaling. 

This chapter includes a total of five sections- 

  • Introduction
  • Making Symmetric Figures: Ink – Blot Devils
  • Figures with Two Lines of Symmetry
  • Figures with Multiple (More Than Two) Lines of Symmetry
  • Reflection and Symmetry

Here is a topic-wise discussion of the sections mentioned earlier: 

  1. Introduction

This section includes an introduction and an overview of Symmetry Class 6. It explains how symmetry exists in the real world and how many architectural marvels possess this characteristic. It also includes how when one folds a picture and places a mirror beside it, he/she can see the exact symmetrical reflection of the picture.

  1. Making Symmetric Figures: Ink – Blot Devils

Class 6 Maths Chapter 13 has various activities that students can try at their home to know more about this concept. 

For example, take a piece of paper and fold it into two halves. Then spill a few drops of ink on any folded side and press them together. After doing so, students can study the figure formed and review if it is symmetrical or not. If it is not, they can try folding the paper differently and repeat the same process again. 

Another example is – Dipping a string in paint or ink and then pressing it along the fold of a paper. Then review it to check if it has symmetry or not. It might be fun to  try different paper folds to create different patterns for reviewing it over. 

This section also includes studying the different objects around you to learn more about symmetry and the line of symmetry it has. 

  1. Figures with Two Lines of Symmetry

Chapter 13 Maths Class 6 tells students how different figures can have more than one line of symmetry. 

To simplify this concept, students can place squares available in their compass box side by side. Doing so will create the shape of a kite, after which they can study how many symmetrical lines this particular figure has.

Class 6 Symmetry includes the study of a rectangle as well. One can take a piece of rectangular paper and fold it first along the length and observe the lines to see whether it has symmetry or not, and then open it up and repeat the same process along its width. Once finished, they can review how many symmetric lines are created by this process. Another example is a DIY experiment where students can fold a piece of paper in the previous DIY. However, this time they need to draw a design along the folds and cut it out. The paper design will unfold once they open the folded paper, and then they can check whether there is any symmetry in the design or not.

4. Figures with Multiple (More Than Two) Lines of Symmetry

Symmetry for Class 6 discusses and includes DIY exercises to make students learn about objects having multiple symmetrical lines. Chapter 13 Symmetry Class 6 further discusses how road signs have varied symmetrical shapes. Additionally, the playing cards and our surroundings have many objects and living beings that have multiple symmetrical lines. Apart from this, this section includes other experiments with papers and drawings that students can perform to understand this topic clearly.

5. Reflection and Symmetry

Chapter 13 Class 6 Maths also discusses how symmetry and reflection are linked to each other.

A single line that divides an object and its reflection is known as a mirror line or line of symmetry. An object portraying a reflection has no alterations to its shape or size or angles, and has perfect symmetry. In this section, students will perform various DIY activities and observe their reflections in the mirror by holding the different objects in front of the mirror. They will also learn about the applications of reflection symmetry in this section of Class 6 Maths Chapter Symmetry.

NCERT Solutions for Class 6 Maths Chapter 13 Exercises

Chapter 13 – Symmetry Exercises
Exercise 13.1
6 Questions & Solutions
Exercise 13.2
8 Questions & Solutions
Exercise 13.3
3 Questions & Solutions

Know the Reasons Why NCERT Solutions is a Must-Read

NCERT Solutions Class 6 is an important study material that provides solutions to NCERT exercises from an exam perspective. Here are the reasons why students must refer to the solutions by Extramarks.

  1.  These solutions answer all questions in this chapter
  2.  NCERT Solutions is explained in simple language to help students comprehend the answers easily.
  3. The solutions are prepared by subject experts and a team that have years of knowledge in the field. Thus, they are accurate and precise
  4. The answers are comprehensive and to the point, so they aid students in the preparation for their exams. 
  5. Additionally, the detailed explanation of every answer eliminates the need for referring to multiple reference books.

FAQs (Frequently Asked Questions)

Whenever an object or a diagram is divided, and the divided parts completely overlap each other, it is a case of symmetry. Both, the divided portions form a mirror image of each other and the line acting as an agent of division is known as the line of symmetry. Symmetry has various applications, especially in the field of Maths.

The maximum number of lines of symmetry that an object or figure can have depends on the number and types of symmetric axes and planes. Therefore, it is very important to learn about these first as it helps in solving questions related to symmetry.

When pictures are reversed from left to right, an illusion created by a flat mirror is known as lateral symmetry. The reason behind this is that when an object is put in front of a plane mirror, its left side looks as if it is on the right side of the picture while its right side seems to be on the left side.

Symmetry can be divided into four types: Rotational, Translation, Glide and Reflection. Each one of these has its own sets of characteristics and rules, and hence it becomes important to study and understand each one of them. This will help in being well-versed with the basics before moving on to the advanced topics of the chapter.

The problems and solutions of Chapter 13 Symmetry play an essential role in building the foundational understanding of the chapter. The following are a few effective ways that will help you to study Chapter 13 Symmetry of Class 6 Maths more easily: 

  1. Developing a good understanding of the basic concepts of the chapter 
  2. Understanding what symmetry is
  3. Learning the important formulas
  4. Thoroughly practising the problems