NCERT Solutions for Class 6 Maths Chapter 13
Home > NCERT Solutions > NCERT Solutions for Class 6 Maths Chapter 13

CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 12
 CBSE Previous Year Question Papers Class 10

CBSE Revision Notes›

CBSE Syllabus›

CBSE Extra Questions›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 9
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 6

ISC & ICSE Syllabus›

ICSE Question Paper›
 ICSE Question Paper
 ISC Class 12 Question Paper
 ICSE Class 10 Question Paper

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ISC Sample Question Papers For Class 12
 ISC Sample Question Papers For Class 11
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 9
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 6

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 9 Revision Notes
 ICSE Class 10 Revision Notes

ICSE Important Questions›

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Sample Question Paper
 AP Board syllabus
 AP Board Previous Year Question Paper

Telangana Board›

Tamilnadu Board›

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Statistics
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics

NCERT Solutions Class 9›

NCERT Solutions Class 8›

NCERT Solutions Class 7›

NCERT Solutions Class 6›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 4›

NCERT Solutions Class 3›

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths
 NCERT Solutions Class 2 English

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

JEE Main Question Papers›

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

JEE Main Questions›
 JEE Main Questions
 JEE Main Maths Questions
 JEE Main Physics Questions
 JEE Main Chemistry Questions

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Advanced Question Papers›

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

NEET Mock Test›
 NEET Mock Test

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 10›
 NCERT Books Class 10

Chemistry Full Forms›
 Chemistry Full Forms

Biology Full Forms›
 Biology Full Forms

Physics Full Forms›
 Physics Full Forms

Educational Full Form›
 Educational Full Form

Examination Full Forms›
 Examination Full Forms

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern
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 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 – TopicWise 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 topicwise discussion of the sections mentioned earlier:

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.

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.

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 MustRead
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.
 These solutions answer all questions in this chapter
 NCERT Solutions is explained in simple language to help students comprehend the answers easily.
 The solutions are prepared by subject experts and a team that have years of knowledge in the field. Thus, they are accurate and precise
 The answers are comprehensive and to the point, so they aid students in the preparation for their exams.
 Additionally, the detailed explanation of every answer eliminates the need for referring to multiple reference books.
Q.1 List any four symmetrical objects from your home or school.
Ans
Four symmetrical objects are: Screen of LED, Top of table, a pair of scissors and black board.
Q.2 For the given figure, which one is the mirror line, l_{1} or l_{2}?
Ans
Since, line l_{2} is dividing this figure into two equal parts. So, l_{2} is mirror line.
Q.3 Identify the shapes given below. Check whether they are symmetric or not. Draw the line of symmetry as well.
Ans
All figures are symmetrical except figure (c). These figures are shown below with line of symmetry.
Q.4 Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.
Ans
The completed figures around the dotted line as a line of symmetry are given below:
Q.5 In the figure, l is the line of symmetry. Complete the diagram to make it symmetric.
Ans
Line l is the line of symmetry of the following figure.
Q.6 In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.
Ans
The triangle is symmetric about the line l which is the line of symmetry.
Q.7 Find the number of lines of symmetry for each of the following shapes:
Ans
(a) Number of lines of symmetry in square are 4.
(b) Number of lines of symmetry in given figure are 4.
(c) Number of lines of symmetry in given figure are 4.
(d) Number of lines of symmetry in given figure is 1.
(e) Number of lines of symmetry in given figure are 6.
(f) Number of lines of symmetry in given figure are 6.
(g) There is no number of lines of symmetry in given figure.
(h) There is no number of lines of symmetry in given figure.
(i) Number of lines of symmetry in given figure are 5.
Q.8 Copy the triangle in each of the following figures on squared paper. In each case, draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paperfolding first!)
Ans
(a)
This is an equilateral triangle and has three line of symmetry.
(b)
This is an isosceles triangle and has one line of symmetry.
(c)
This is an isosceles right angled triangle and has one line of symmetry.
(d) There is no lines of symmetry in a scalene triangle.
Q.9 Complete the following table.
Ans
The completed table is as given below:
Q.10 Can you draw a triangle which has
(a) exactly one line of symmetry?
(b) exactly two lines of symmetry?
(c) exactly three lines of symmetry?
(d) no lines of symmetry?
Sketch a rough figure in each case.
Ans
(a) An isosceles triangle has one line of symmetry.
(b) There is no triangle which has two lines of symmetry.
(c) An equilateral triangle has three lines of symmetry.
(d) A scalene triangle has no lines of symmetry.
Q.11 On a squared paper, sketch the following:
(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
(b) A quadrilateral with both horizontal and vertical lines of symmetry.
(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
(d) A hexagon with exactly two lines of symmetry.
(e) A hexagon with six lines of symmetry.
Ans
(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry is given below:
(b) A quadrilateral with both horizontal and vertical lines of symmetry is given below:
(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry is given below:
(d) A hexagon with exactly two lines of symmetry is given below:
(e) A hexagon with six lines of symmetry is given below:
Q.12 Trace each figure and draw the lines of symmetry, if any:
Ans
(a) There are no lines of symmetry in given figure.
(b) There are two lines of symmetry in given figure.
(c) There are 4 lines of symmetry in given figure.
(d) There are 2 lines of symmetry in given figure.
(e) There is only one line of symmetry in given figure.
(f) There are two lines of symmetry in given figure.
Q.13 Consider the letters of English alphabets, A to Z. List among them the letters which have
(a) vertical lines of symmetry (like A)
(b) horizontal lines of symmetry (like B)
(c) no lines of symmetry (like Q)
Ans
(a) Letters of English alphabets having vertical lines of symmetry are:
A M U V W Y T
(b) Letters of English alphabets having horizontal lines of symmetry are:
B C D E K
(c) Letters of English alphabets having no lines of symmetry are:
F G J L N P Q R S Z
Q.14 Given here are figures of a few folded sheets and designs drawn about the fold. In each case, draw a rough diagram of the complete figure that would be seen when the design is cut off.
Ans
The designs that would be seen when the design is cut off are given below:
Q.15 Find the number of lines of symmetry in each of the following shapes. How will you check your answers?
Ans
(a) There are two lines of symmetry in given figure.
(b) There is only one line of symmetry in given figure.
(c) There is only one line of symmetry in given figure.
(d) There is only one line of symmetry in given figure.
(e) There is only one line of symmetry in given figure.
(f) There are two lines of symmetry in given figure.
Q.16 Copy the following drawing on squared paper. Complete each one of them such that the resulting figure has two dotted lines as two lines of symmetry.
How did you go about completing the picture?
Ans
The figures are completed by using both lines of symmetry. First we use vertical line of symmetry and then horizontal line of symmetry to complete these figures. These figures are given below:
(a)
(b)
(c)
(d)
(e)
(f)
Q.17 In each figure alongside, a letter of the alphabet is shown along with a vertical line. Take the mirror image of the letter in the given line. Find which letters look the same after reflection (i.e. which letters look the same in the image) and which do not. Can you guess why?
Try for O E M N P H L T S V X
Ans
The mirror images of given letters are given below:
Those letters which have vertical line of symmetry, they have same mirror images. These letters are O, M, H, T, V, X. These letters look the same after reflection.
Please register to view this section
FAQs (Frequently Asked Questions)
1. What is symmetry?
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.
2. How many lines of symmetry can any figure have?
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.
3. What does lateral symmetry mean?
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.
4. Explain the different types of symmetry according to the Class 6 Syllabus.
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 wellversed with the basics before moving on to the advanced topics of the chapter.
5. Elaborate on effective ways to study the Chapter 13 Symmetry of Class 6 Maths?
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:
 Developing a good understanding of the basic concepts of the chapter
 Understanding what symmetry is
 Learning the important formulas
 Thoroughly practising the problems