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Home » NCERT Solutions » Class 6 » Maths » Chapter 13 Symmetry » Class 6 Maths Exercise 13.2

Class 6 Maths Exercise 13.2

Last Updated on February 16, 2023 By Mrs Shilpi Nagpal

Chapter 13 Exercise 13.1
Chapter 13 Exercise 13.2
Chapter 13 Exercise 13.3

NCERT Answers for Class 6 Maths
Chapter 12 Ratio and Proportion Exercise 13.2

Page 263

Ex 13.2 Class 6 Maths Question 1. Find the number of lines of symmety for each of the following shapes :

Ex 13.2 Class 6 Maths Question 1

Answer

(a) 4
(b) 4
(c) 4
(d) 1
(e) 6
(f) 4
(g) 0
(h) 0
(i) 3

Ex 13.2 Class 6 Maths Answer 1

Ex 13.2 Class 6 Maths Ans 1

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!)

Ex 13.2 Class 6 Maths Question 2

Answer

(a) The given triangle is an isosceles triangle. Here it will be only 1 line of symmetry.

(b) The given triangle is an isosceles triangle. Here it will be only 1 line of symmetry.

(c) The given triangle is a right angled triangle. Here it will be only 1 line of symmetry.

(d) The given triangle is a scalene triangle. Here it will be no line of symmetry.

Ex 13.2 Class 6 Maths Answer 2

Ex 13.2 Class 6 Maths Question 3. Complete the following table.

Ex 13.2 Class 6 Maths Question 3

Answer

Ex 13.2 Class 6 Maths Answer 3

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.

Answer

(a) Yes, we can draw an isosceles triangle which has only 1 line of symmetry.

Ex 13.2 Class 6 Maths Answer 4 (a)

(b) No, we cannot draw a triangle which has 2 lines of symmetry.

(c) Yes, we can draw an equilateral triangle which has 3 lines of symmetry.

Ex 13.2 Class 6 Maths Answer 4 (c)

(d) Yes, we can draw a scalene triangle which has no line of symmetry.

Ex 13.2 Class 6 Maths Answer 4 (d)

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.
(Hint : It will be helpful if you first draw the lines of symmetry and then complete
the figures.)

Answer

(a) The figure shows an isosceles triangle with horizontal line of symmetry.

Ex 13.2 Class 6 Maths Answer 5 (a)

(b) Rectangle (quadrilateral) shows both the horizontal and vertical lines of symmetry.

Ex 13.2 Class 6 Maths Answer 5 (b)

(c) Trapezium (quadrilateral) shows the horizontal but no vertical line of symmetry.

Ex 13.2 Class 6 Maths Answer 5 (c)

(d) The hexagon drawn below shows only two lines of symmetry.

Ex 13.2 Class 6 Maths Answer 5 (d)

(e) The regular hexagon shows the six lines of symmetry.

Ex 13.2 Class 6 Maths Answer 5 (e)

Ex 13.2 Class 6 Maths Question 6. Trace each figure and draw the lines of symmetry, if any:

Ex 13.2 Class 6 Maths Question 6

Ex 13.2 Class 6 Maths Question 6

Answer

(a) The given figure has no line of symmetry as it is not symmetrical.

(b) The given figure has two lines of symmetry.

Ex 13.2 Class 6 Maths Answer 6 (b)

(c) The given figure has four lines of symmetry.

Ex 13.2 Class 6 Maths Answer 6 (c)

(d) The given figure has two lines of symmetry.

Ex 13.2 Class 6 Maths Answer 6 (d)

(e) This figure has only one horizontal line of symmetry.

Ex 13.2 Class 6 Maths Answer 6 (e)

(f) The given figure has two lines of symmetry.

Ex 13.2 Class 6 Maths Answer 6 (f)

 

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)

Ex 13.2 Class 6 Maths Question 7

(a) The following letters have vertical lines of symmetry:
A, H, I, M, O, T, U, V, W, X, and Y
(b) The following letters have horizontal lines of symmetry:
B, C, D, E, H, I, K, O and X.
(c) The following letters have no lines of symmetry:
F, G, J, L, N, 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.

Ex 13.2 Class 6 Maths Question 8

Answer

The complete figures will be as follows :

Ex 13.2 Class 6 Maths Answer 8

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Filed Under: Chapter 13 Symmetry, Class 6, Maths, NCERT Solutions

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  1. Atharva says

    September 12, 2021 at 8:23 pm

    Good

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