NCERT Solutions for Class 6 Maths Chapter 13 – Symmetry

NCERT Solutions for Class 6 Maths Chapter 13 – Symmetry comprises of the 3 Exercises

This Chapter contains the Exercises relating to the following topics, which are discussed in Chapter 13 – Symmetry Class 6 NCERT book  : –

  • 13.1 Introduction
  • 13.2 Making Symmetric Figures : Ink-blot Devils
  • 13.3 Figures with Two Lines of Symmetry
  • 13.4 Figures with Multiple (more than two) Lines of Symmetry
  • 13.5 Reflection and Symmetry




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 – Symmetry

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 image 1 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 image 2




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 image 3 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 image 4

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 – Symmetry

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 1




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 2 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 3 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 4




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 5 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 6 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 7




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 8 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 image 9

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 – Symmetry

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 image 1




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 image 2 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 image 4 NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 image 4




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 – Symmetry

1. List any four symmetrical objects from your home or school.

Solution: Some common symmetrical objects are fan, notebook, chair and cricket bat.

2. For the given figure, which one is the mirror line, l1 or l2?

Solution: Line l2 is the mirror line for the given figure.

3. For 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 Exercise 13.1 Question 3

Solution:

Out of these figures, only (a), (b), (d), (e) and (f) are symmetrical.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 Question 3

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 Maths Class 6 Chapter 13 Exercise 13.1 Question 4

Solution:

The completed diagrams will look as follows

NCERT Solutions Maths Class 6 Chapter 13 Exercise 13.1 Question 4

5. In the figure, l is the line of symmetry. Complete the diagram to make it symmetric.

Solution:

The completed diagram will look as follows

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.

NCERT Solutions Maths Class 6 Chapter 13 Exercise 13.1 Question 6

Solution:

NCERT Solutions Maths Class 6 Chapter 13 Exercise 13.1 Question 6

The completed diagram will look as follows




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 – Symmetry

1. Find the number of lines of symmetry for each of the following shapes:

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 Question 1

Solution:

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 1Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 1

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 Exercise 13.2 Question 2

Solution:

The lines of symmetry and type of triangle are shown below

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 2

3. Complete the following table.

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 3

Solution: The completed table will be as shown below

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 3

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?

(a) Yes, an isosceles triangle has exactly one line of symmetry.

(b) No, it is not possible to draw a triangle that has exactly two lines of symmetry.

 

(c) Yes, an equilateral triangle has exactly three line of symmetry.

(d) Yes, a scalene triangle has no lines of symmetry.

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:

(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.

6. Trace each figure and draw the lines of symmetry, if any:

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 6

Solution:

The lines of symmetry are as follows

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 6

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)

(a) Letters with vertical lines of symmetry are A, H, I, M, O, T, U, V, W, X and Y.

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 7a

(b) Letters with horizontal lines of symmetry are B, C, D, E, H, I, O and X.

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 7b

(c) Letters with no lines of symmetry are F, G, J, L, N, P, Q, R, S and Z.

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.

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 8

Solution:

The figures that would be seen when the design is cut off are

Maths NCERT Solutions for Class 6 Chapter 13 Exercise 13.2 Question 8




NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 – Symmetry

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 Exercise 13.3 Question 1

Solution:

Number of lines of symmetry are shown in the table below

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 Question 1NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 Question 1

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 Exercise 13.3 Question 2

How did you go about completing the picture?

Solution:

The completed figures will look as follows

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 Question 2

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 Exercise 13.3 Question 3

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

Solution:

The letters that look same in the mirror are A, H, I, M, O, T, U, V, W, X and Y.

Reflections of some letters are given below:

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 Question 3NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 Question 3




With this we come to the end of NCERT Solutions for Class 6 Maths Chapter 13. We hope these helped you study your subject.

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