NCERT Solutions for Class 6 Maths Chapter 13 Symmetry

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Written by Team Trustudies
Updated at 2021-02-11


NCERT solutions for class 6 Maths Chapter 13 Symmetry Exercise 13.1

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



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

Black board , table top , rular, A pair of scissors, notebook

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



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

Mirror l2 is symmetry line of given figure

Q.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


Answer :


(a) Yes. It is a symmetric
(b) Yes. It is a symmetric
(c) No, it is not a symmetric
(d) Yes. It is a symmetric
(e) Yes. It is a symmetric
(f) Yes. It is a symmetric

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.



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

Q.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


Answer :

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.



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

NCERT solutions for class 6 Maths Chapter 13 Symmetry Exercise 13.2

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



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

(a) there are 4 lines of symmetry.
(b) there are 4 lines of symmetry.
(c) there are 4 lines of symmetry.
(d) there is only 1 line of symmetry.
(e) there are 6 lines of symmetry.
(f) there are 6 lines of symmetry.
(g) there is no line of symmetry.
(h) there is no line of symmetry.
(i) there are 3 lines of symmetry.

Q.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


Answer :

Q.3 Complete the following table.



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

Q.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.



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :


(a) Isosceles triangle
(b) no any triangle
(c) Equilateral triangle
(d) scalene triangle

Q.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.



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

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



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :


(a) The given figure has no line of symmetry as it is not symmetrical.
(b) The given figure has two lines of symmetry.
(c) The given figure has four lines of symmetry.
(d) The given figure has two lines of symmetry.
(e) This figure has only one horizontal line of symmetry.
(f) The given figure has two lines of symmetry.

Q.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)



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

(a) Vertical lines of symmetry are A, H, I, M, O, T, U, V, W, X, Y.
(b) Horizontal lines of symmetry are B, C, D, E, H, I, K, O, X.
(c) No lines of symmetry are F, G, J, L, N, P, Q, R, S, Z.

Q.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.



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :

NCERT solutions for class 6 Maths Chapter 13 Symmetry Exercise 13.3

Q.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


Answer :

(a) The given figure has 4 lines of symmetry.
(b) The given figure has only one line of symmetry.
(c) The given figure has two line of symmetry.
(d) The given figure has two lines of symmetry.
(e) This figure has only one line of symmetry.
(f) The given figure has two lines of symmetry.

Q.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


Answer :

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



NCERT Solutions for Class 6 Maths Chapter 13 Symmetry


Answer :



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