NCERT Solutions For Class 6 Maths Ex 13.2

NCERT Solutions For Class 6 Maths Ex 13.2 PDF Free Download

Figures with two lines and multiple lines of symmetry are covered in this exercise. These concepts are explained in simple language to make it easier for the students while studying. The problems are solved as per the CBSE syllabus by experts to help students during revision. Students can improve their knowledge about concepts covered in each exercise with the help of solutions PDF. Here, the students can effortlessly download NCERT Solutions Class 6 Maths Chapter 13 Symmetry Exercise 13.2 PDF, from the links which are available here.

NCERT Solutions for Class 6 Chapter 13: Symmetry Exercise 13.2 Download PDF

 

ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2
ncert solutions for class 6 maths chapter 13 ex 2

 

Access NCERT Solutions for Class 6 Chapter 13: Symmetry Exercise 13.2

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 - 1

Solutions:

(a) For the given figure there are 4 lines of symmetry.

(b) For the given figure there are 4 lines of symmetry.

(c) For the given figure there are 4 lines of symmetry.

(d) For the given figure there is only 1 line of symmetry.

(e) For the given figure there are 6 lines of symmetry.

(f) For the given figure there are 6 lines of symmetry.

(g) For the given figure there is no line of symmetry.

(h) For the given figure there is no line of symmetry.

(i) For the given figure there are 3 lines of symmetry.

Now we may observe the lines of symmetry in the above figures as follows

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

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 - 3

Solutions:

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


NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 4

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

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 5

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

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

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

3. Complete the following table.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 7

Solutions:

The given table is completed as follows:

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

In case of circles we find infinite lines. Here some lines of symmetry are drawn. Similarly, we can draw more symmetric lines for the circle.

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.

Solutions:

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

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 9

(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.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 10

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

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 11

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.

Solutions:

(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry can be drawn as follows

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 12

(b) A quadrilateral with both horizontal and vertical lines of symmetry can be drawn as follows

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

(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry can be sketched as follows

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 14

(d) A hexagon with exactly two lines of symmetry may be drawn as follows

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 15

(e) A hexagon with 6 lines of symmetry may be drawn as follows

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 16

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

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 17

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 18

Solutions:

(a) The given figure is an isosceles triangle. Hence, there will be 1 line of symmetry.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 19

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

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 20

(c) The given figure has 4 lines of symmetry.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 21

(d) The given figure is an octagonal which has 2 lines of symmetry.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 22

(e) The given figure has only 1 line of symmetry.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 23

(f) The given figure has 4 lines of symmetry.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 24

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)

Solutions:

(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.

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 Exercise 13.2 - 25

Solutions:

We may draw a diagram of complete figure as follows

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 - 26


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