NCERT Solutions | Class 6 Maths Chapter 13 | Symmetry

CBSE Solutions | Maths Class 6

Check the below NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Pdf free download. NCERT Solutions Class 6 Maths were prepared based on the latest exam pattern. We have Provided Symmetry Class 6 Maths NCERT Solutions to help students understand the concept very well.

NCERT | Class 6 Maths

NCERT Solutions Class 6 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	6th
Subject:	Maths
Chapter:	13
Chapters Name:	Symmetry
Medium:	English

Symmetry | Class 6 Maths | NCERT Books Solutions

You can refer to MCQ Questions for Class 6 Maths Chapter 13 Symmetry to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Exercise 13.1

Ex 13.1 Class 6 Maths Question 1.

List any four symmetrical objects from your home or school.

Solution:

List of four symmetrical objects from home or school are
(i) An electric tube
(ii) A glass
(iii) An electric bulb
(iv) A fan

Ex 13.1 Class 6 Maths Question 2.

For the given figure, which one is the mirror line, l₁ or l₂
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 1

Solution:

From the given figure, clearly l₂ is the mirror line.

Ex 13.1 Class 6 Maths Question 3.

Identify the shapes given below. Check whether they are symmetric or not. Draw the line of symmetry as well.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 2

Solution:

Figures (a), (b), (d), (e) and (f) are symmetrical and their line of symmetry is shown as a dotted line.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 3

Ex 13.1 Class 6 Maths Question 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.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 4

Solution:

Keeping the dotted line as the line of symmetry and completing the figure, we have
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 5

Ex 13.1 Class 6 Maths Question 5.

In the figure, l is the line of symmetry. Complete the diagram to make it symmetric.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 6

Solution:

Complete diagram is as under:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 7

Ex 13.1 Class 6 Maths Question 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.

Solution:

The image of the triangle is shown such that the complete diagram becomes symmetric.

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Exercise 13.2

Ex 13.2 Class 6 Maths Question 1.

Find the number of lines of symmetry for each of the following shapes.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 10

Solution:

Each one of the given figures are symmetrical about the dotted line(s) drawn. The number lines of symmetry are indicated against each figure:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 11

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 12

Ex 13.2 Class 6 Maths Question 2.

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 paper-folding first!)
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 13

Solution:

(a), (b) and (d) are isosceles triangles, (c) is a right angled isosceles triangle. Their line(s) of symmetry marked with dotted line(s) in each case as under:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 14

Ex 13.2 Class 6 Maths Question 3.

Complete the following table :
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 15

Solution:

Complete table with rough figures duly filled is as under:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 16

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 17

Ex 13.2 Class 6 Maths Question 4.

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.

Solution:

(a) Yes, it is an isosceles triangle. Its rough sketch is as shown.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 18

(b) No.
(c) Yes, it is an equilateral triangle. Its rough sketch is as shown.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 19

(d) Yes, it is a scalene triangle. Its rough sketch is as shown.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 20

Ex 13.2 Class 6 Maths Question 5.

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.

Solution:

Sketches of the required figure with their line(s) of symmetry are shown as under:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 21

Ex 13.2 Class 6 Maths Question 6.

Trace each figure and draw the lines of symmetry, if any:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 22

Solution:

The line(s) of symmetry of the given figures are shown as dotted lines as under:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 23

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 24

Ex 13.2 Class 6 Maths Question 7.

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)

Solution:

The English alphabets A to Z having
(a) vertical lines of symmetry (like A) are
A, H, I, M, O, T, U, V, W, X and Y.
(b) horizontal lines of symmetry (like B) are
B, C, D, E, H, I, K, O and X.
(c) no lines of symmetry (like Q) are G, J, L, P, Q, R, S and Z.

Ex 13.2 Class 6 Maths Question 8.

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.

Solution:

The rough diagram of the complete figure that would be seen when the design is cut off is as under:

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Exercise 13.3

Ex 13.3 Class 6 Maths Question 1.

Find the number of lines of symmetry in each of the following shapes: .
How will you check your answers?
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 28

Solution:

By drawing the line(s) of symmetry, we find that the number of line(s) possessed by them are
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 29

Ex 13.3 Class 6 Maths Question 2.

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:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 30

How did you go about completing the picture?

Solution:

Completing the figures using the given line(s) of symmetry. The completed figures are as under:
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 31

Ex 13.3 Class 6 Maths Question 3.

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?
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 32

Try for O E M N P H L T S V X

Solution:

Taking the mirror image of the letters A and B in the given line. These will look as shown.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry 33

Clearly, A after reflection looks same but B does not.
It is due to the reason that the shape is preserved but sense is not.
Out of the given letters:
O, M, H, T, V, and X look as before after reflection, whereas E, P, N, L, and S does not.