NCERT Solutions for 6th Class Maths: Chapter 13-Symmetry
NCERT Solutions for 6th Class Maths: Chapter 13-Symmetry

Class 6: Maths Chapter 13 solutions. Complete Class 6 Maths Chapter 13 Notes.

NCERT Solutions for 6th Class Maths: Chapter 13- Symmetry

NCERT 6th Maths Chapter 13, class 6 Maths Chapter 13 solutions

Exercise 13.1

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

Answer

Notebook, Blackboard, Glass, Inkpot.

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

Exercise 13.1 Question 2 Class 6 Maths

Answer

l2 is the mirror line as both sides of the lines are symmetric.

3. Identify the shapes given below. Check whether they are symmetric or not. Draw the line of symmetry as well.

Exercise 13.1 Question 3 Class 6 Maths

Answer

(a) Symmetric

(b) Symmetric

(c) Not Symmetric

(d) Symmetric

(e) Symmetric

(f) Symmetric

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.

Exercise 13.1 Question 4 Class 6 Maths

Answer

Exercise 13.1 Answer 4 Class 6 Maths

5. In the figure, l is the line of symmetry.

Complete the diagram to make it symmetric.

Exercise 13.1 Question 5 Class 6 Maths

Answer

Exercise 13.1 Answer 5 Class 6 Maths

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.

Exercise 13.1 Question 6 Class 6 Maths

Answer

Exercise 13.1 Answer 6 Class 6 Maths

NCERT 6th Maths Chapter 13, class 6 Maths Chapter 13 solutions

Exercise 13.2 

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

Exercise 13.2 Question 1 Class 6 Maths

Answer

(a) 4

(b) 4

(c) 4

(d) 1

(e) 6

(f) 4

(g) 0

(h) 0

(i) 3

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!)

Exercise 13.2 Question 2 Class 6 Maths

Answer

(a) l1 is the line of symmetry.

(b) l1 is the line of symmetry.

(c) l1 is the line of symmetry.

(d) No line of symmetry.

3. Complete the following table.

Exercise 13.2 Question 3 Class 6 Maths

Answer

Exercise 13.2 Answer 3 Class 6 Maths

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, Isosceles triangle

Exercise 13.2 Answer 4 Class 6 Maths 1

(b) No such triangle cannot be formed.

(c) Yes, Equilateral triangle.

Exercise 13.2 Answer 4 Class 6 Maths 2

(d) Yes, Scalene triangle

Exercise 13.2 Answer 4 Class 6 Maths 3

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

Exercise 13.2 Answer 5 Class 6 Maths
Exercise 13.2 Answer 5 Class 6 Maths 1

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

Exercise 13.2 Question 6 Class 6 Maths

Answer

Exercise 13.2 Answer 6 Class 6 Maths

7. Consider the letters of English alphabet, A to Z. List among them the letters which have

Exercise 13.2 Question 7 Class 6 Maths

(a) vertical lines of symmetry (like A)

(b) horizontal lines of symmetry (like B)

(c) no lines of symmetry (like Q)

Answer

(a) vertical lines: A, H, I, M, O, T, U, V, W, X, Y

(b) gorizontal lines: B, C, D, E, H, I, K, O, X

(c) no line of symmetry: F, G, J, 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.

Exercise 13.2 Question 8 Class 6 Maths

Answer

Exercise 13.2 Answer 8 Class 6 Maths

NCERT 6th Maths Chapter 13, class 6 Maths Chapter 13 solutions

Exercise 13.3 

1. Find the number of lines of symmetry in each of the following shapes. How will you check your answers?

Exercise 13.3 Question 1 Class 6 Maths

Answer

(a) four

(b) one

(c) two

(d) two

(e) one

(f) two

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. How did you go about completing the picture?

Exercise 13.3 Question 2 Class 6 Maths

Answer

Exercise 13.3 Answer 2 Class 6 Maths

3. In each figure below, a letter of 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?

Exercise 13.3 Question 3 Class 6 Maths

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

Answer

Exercise 13.3 Answer 3 Class 6 Maths 1
Exercise 13.3 Answer 3 Class 6 Maths 2

NCERT 6th Maths Chapter 13, class 6 Maths Chapter 13 solutions

NCERT Solutions for 6th Class Maths: Chapter 13: Download PDF

NCERT Solutions for 6th Class Maths: Chapter 13-Symmetry

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