NCERT Solutions for Class 6 Maths Symmetry [Old Book]
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NCERT Solutions for Class 6 Maths Symmetry [Old Book] – Text
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Page 1
NCERT
SOLUTIONS
CLASS - 6TH
aglase .co
SOLUTIONS
CLASS - 6TH
aglase .co
Page 2
Class : 6th
Subject : Maths
Chapter : 13
Chapter Name : Symmetry
Exercise 13.1
Q1 You have two set-squares in your ‘mathematical instruments box’. Are they symmetric?
Answer. Missing
Page : 262 , Block Name : Try These
Q1 List any four symmetrical objects from your home or school.
Answer. Paper sheet, Glass, CD, Bucket
Page : 263 , Block Name : Exercise 13.1
Q2 For the given gure, which one is the mirror line, l 1 or l2?
Answer. Line l is the mirror line of this gure. This is because when the given gure is folded
2
about the line l , the left part can exactly cover the right part and vice-versa.
2
Page : 263 , Block Name : Exercise 13.1
Q3 Identify the shapes given below. Check whether they are symmetric or not. Draw the line of
symmetry as well.
Subject : Maths
Chapter : 13
Chapter Name : Symmetry
Exercise 13.1
Q1 You have two set-squares in your ‘mathematical instruments box’. Are they symmetric?
Answer. Missing
Page : 262 , Block Name : Try These
Q1 List any four symmetrical objects from your home or school.
Answer. Paper sheet, Glass, CD, Bucket
Page : 263 , Block Name : Exercise 13.1
Q2 For the given gure, which one is the mirror line, l 1 or l2?
Answer. Line l is the mirror line of this gure. This is because when the given gure is folded
2
about the line l , the left part can exactly cover the right part and vice-versa.
2
Page : 263 , Block Name : Exercise 13.1
Q3 Identify the shapes given below. Check whether they are symmetric or not. Draw the line of
symmetry as well.
Page 3
Answer. (a) Yes
(b) Yes
(c) No
(d) Yes
(e) Yes
(f) Yes
Line of symmetry is shown in the following gures.
Page : 263 , Block Name : Exercise 13.1
Q4 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.
(b) Yes
(c) No
(d) Yes
(e) Yes
(f) Yes
Line of symmetry is shown in the following gures.
Page : 263 , Block Name : Exercise 13.1
Q4 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.
Page 4
Answer. To make the dotted lines as the line of symmetry, the given gures can be drawn as
follows.
follows.
Page 5
Page : 263 , Block Name : Exercise 13.1
Q5 In the gure, l is the line of symmetry. Complete the diagram to make it symmetric.
Q5 In the gure, l is the line of symmetry. Complete the diagram to make it symmetric.
Page 6
Answer. To make the diagram symmetric, it can be completed as follows.
Page : 263 , Block Name : Exercise 13.1
Q6 In the gure, l is the line of symmetry. Draw the image of the triangle and complete the
diagram so that it becomes symmetric.
Answer. The required triangle can be formed as follows.
Page : 264 , Block Name : Exercise 13.1
Q1 Form as many shapes as you can by combining two or more set squares. Draw them on squared
paper and note their lines of symmetry.
Answer. Missing
Page : 264 , Block Name : Try These
Exercise 13.2
Q1 Find the number of lines of symmetry for each of the following shapes.
Page : 263 , Block Name : Exercise 13.1
Q6 In the gure, l is the line of symmetry. Draw the image of the triangle and complete the
diagram so that it becomes symmetric.
Answer. The required triangle can be formed as follows.
Page : 264 , Block Name : Exercise 13.1
Q1 Form as many shapes as you can by combining two or more set squares. Draw them on squared
paper and note their lines of symmetry.
Answer. Missing
Page : 264 , Block Name : Try These
Exercise 13.2
Q1 Find the number of lines of symmetry for each of the following shapes.
Page 7
Answer. (a) There are 4 lines of symmetry for the given gure.
(b) There are 4 lines of symmetry for the given gure.
(c) There are 4 lines of symmetry for the given gure.
(d) There is only 1 line of symmetry for the given gure.
(e) There are 6 lines of symmetry for the given gure.
(f) There are 6 lines of symmetry for the given gure.
(g) There is no line of symmetry for the given gure.
(h) There is no line of symmetry for the given gure.
(i) There are 3 lines of symmetry for the given gure.
The lines of symmetry in the above gures can be represented as follows.
(b) There are 4 lines of symmetry for the given gure.
(c) There are 4 lines of symmetry for the given gure.
(d) There is only 1 line of symmetry for the given gure.
(e) There are 6 lines of symmetry for the given gure.
(f) There are 6 lines of symmetry for the given gure.
(g) There is no line of symmetry for the given gure.
(h) There is no line of symmetry for the given gure.
(i) There are 3 lines of symmetry for the given gure.
The lines of symmetry in the above gures can be represented as follows.
Page 8
Page : 267 , Block Name : Exercise 13.2
Q2 Copy the triangle in each of the following gures 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
gures and try paper-folding rst!)
Answer. DIY
Page : 267 , Block Name : Exercise 13.2
Q2 Copy the triangle in each of the following gures 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
gures and try paper-folding rst!)
Answer. DIY
Page : 267 , Block Name : Exercise 13.2
Page 9
Q3 Complete the following table
Answer. The given table can be completed as follows.
Answer. The given table can be completed as follows.
Page 10
In case of a circle, there are in nite lines. In the above table, only some lines of symmetry are
drawn. More symmetric lines can be similarly for it.
Page : 268 , Block Name : Exercise 13.2
Q4 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 gure in each case.
Answer. (a) Yes, we can make an isosceles triangle which has 1 line of symmetry.
drawn. More symmetric lines can be similarly for it.
Page : 268 , Block Name : Exercise 13.2
Q4 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 gure in each case.
Answer. (a) Yes, we can make an isosceles triangle which has 1 line of symmetry.
Page 11
(b) No, we cannot draw such a triangle.
(c) Yes, we can make an equilateral triangle which has 3 lines of symmetry.
(d) Yes, we can make a scalene triangle which has no line of symmetry.
Page : 268 , Block Name : Exercise 13.2
Q5 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.
(Hint : It will be helpful if you rst draw the lines of symmetry and then complete the gures.)
Answer.
(c) Yes, we can make an equilateral triangle which has 3 lines of symmetry.
(d) Yes, we can make a scalene triangle which has no line of symmetry.
Page : 268 , Block Name : Exercise 13.2
Q5 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.
(Hint : It will be helpful if you rst draw the lines of symmetry and then complete the gures.)
Answer.
Page 12
Page : 268 , Block Name : Exercise 13.2
Q6 Trace each gure and draw the lines of symmetry, if any:
Q6 Trace each gure and draw the lines of symmetry, if any:
Page 14
Answer.
Page : 268 , Block Name : Exercise 13.2
Q7 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)
Page : 268 , Block Name : Exercise 13.2
Q7 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)
Page 15
(c) no lines of symmetry (like Q)
Answer. (a) A, H, I, M, O, T, U, V, W, X, Y
(b) B, C, D, E, H, I, K, O, X
(c) F, G, J, L, N, P, Q, R, S, Z
Page : 269 , Block Name : Exercise 13.2
Q8 Given here are gures of a few folded sheets and designs drawn about the fold. In each case,
draw a rough diagram of the complete gure that would be seen when the design is cut off.
Answer. The complete gures will be as follows.
Page : 269 , Block Name : Exercise 13.2
Q1 If you are 100 cm in front of a mirror, where does your image appear to be? If you move towards
the mirror, how does your image move?
Answer. Missing
Page : 270 , Block Name : Try These
Exercise 13.3
Q1 Find the number of lines of symmetry in each of the following shapes. How will you check your
answers?
Answer. (a) A, H, I, M, O, T, U, V, W, X, Y
(b) B, C, D, E, H, I, K, O, X
(c) F, G, J, L, N, P, Q, R, S, Z
Page : 269 , Block Name : Exercise 13.2
Q8 Given here are gures of a few folded sheets and designs drawn about the fold. In each case,
draw a rough diagram of the complete gure that would be seen when the design is cut off.
Answer. The complete gures will be as follows.
Page : 269 , Block Name : Exercise 13.2
Q1 If you are 100 cm in front of a mirror, where does your image appear to be? If you move towards
the mirror, how does your image move?
Answer. Missing
Page : 270 , Block Name : Try These
Exercise 13.3
Q1 Find the number of lines of symmetry in each of the following shapes. How will you check your
answers?
Page 16
Answer.
Page : 271 , Block Name : Exercise 13.3
Page : 271 , Block Name : Exercise 13.3
Page 17
Q2 Copy the following drawing on squared paper. Complete each one of them such that the
resulting gure has two dotted lines as two lines of symmetry.
How did you go about completing the picture?
Answer. These gures can be completed by drawing similar parts as shown in these gures, rst
about the vertical line of symmetry and then about the horizontal line of symmetry, or rst about
the horizontal line of symmetry and then about the vertical line of symmetry.
The completed gures will be as follows.
Page : 272 , Block Name : Exercise 13.3
Q3 In each gure 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 re ection (i.e.
which letters look the same in the image) and which do not. Can you guess why?
resulting gure has two dotted lines as two lines of symmetry.
How did you go about completing the picture?
Answer. These gures can be completed by drawing similar parts as shown in these gures, rst
about the vertical line of symmetry and then about the horizontal line of symmetry, or rst about
the horizontal line of symmetry and then about the vertical line of symmetry.
The completed gures will be as follows.
Page : 272 , Block Name : Exercise 13.3
Q3 In each gure 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 re ection (i.e.
which letters look the same in the image) and which do not. Can you guess why?
Page 18
Answer. The mirror images of these gures will be as follows.
The letters that have vertical line of symmetry will have same mirror images. These letters are O,
M, H, T, V, X, and hence, these letters will look the same.
Page : 272 , Block Name : Exercise 13.3
The letters that have vertical line of symmetry will have same mirror images. These letters are O,
M, H, T, V, X, and hence, these letters will look the same.
Page : 272 , Block Name : Exercise 13.3
Document Details
| Board / Org | NCERT |
| Exam | Class 6 |
| Type | Solution |
| Pages | 18 |
| Updated | 22 Jul 2026 |