NCERT Solutions for Class 6 Maths Chapter 13 Symmetry by **Swiflearn** are by far the best and most reliable NCERT Solutions that you can find on the internet. These NCERT Solutions for Class 6 Maths Chapter 13 are designed as per the CBSE Class 6 Maths Syllabus. These **NCERT** Solutions will surely make your learning convenient & fun. Students can also Download FREE PDF of NCERT Solutions Class 6 Chapter 13.

## NCERT Solutions for Class 6 Maths Chapter 13: Symmetry Ex 13.1

**Question 1:**

**List any four symmetrical from your home or school.**

**Solution**:

Book, Mobile phone, Pencil box, Football.

**Question 2:**

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

**Solution**:

l2 is the mirror line for the give figure.

**Question 3:**

**Identify the shapes given below. Check whether they are symmetric or not.**

**Draw the line of symmetry as well.**

**Solution:
**(a) This is a symmetrical figure and the line l is the line of symmetry

(b) This is a symmetrical figure and the line l is the line of symmetry.

(c) This is an unsymmetrical figure. There can’t be any line of symmetry.

(d) This is a symmetrical figure and the line l is the line of symmetry.

(e) This is a symmetrical figure and the line l is the line of symmetry.

(f) This is a symmetrical figure and the line l is the line of symmetry.

**Question 4:**

**Copy the following on a square 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.**

**Solution**:

**Question 5:**

**In the figure, l is the line of symmetry. Complete the diagram to make it**

**symmetric.**

**Solution**:

**Question 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.**

**Solution**:

## NCERT Solutions for Class 6 Maths Chapter 13: Symmetry Ex 13.2

**Exercise 13.2**

**Question 1:**

**Find the number of lines of symmetry for each of the following shapes:**

**Solution**:

The lines of symmetry in each case are as follows:

(a) 4 (b) 4 (c) 4 (d) 1 (e) 6 (f) 6

(g) 0 (h) 0 (i) 3

**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 identity the type of**

**triangle. (Some of you may like to trace the figures and try paper-folding**

**first!)**

**Solution**:

(a) It is an isosceles triangle with one line of symmetry.

(b) It is an isosceles triangle with one line of symmetry.

(c) It is an isosceles right angled triangle with one line of symmetry.

(d) It is a scalene triangle with no line of symmetry.

**Question 3:**

**Complete the following table:**

**Solution**:

**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.**

**Solution**:

(a) Yes, we can draw an Isosceles Triangle

(b) No such triangle is possible.

(c) Yes, we can draw an Equilateral Triangle

(d) Yes, we can draw a Scalene Triangle

**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 with 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)**

**Solution**:

(a)

(b)

(c)

(d)

(e)

**Question 6:**

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

**Solution**:

(a) The Given figure has no line of symmetry.

(b) The figure has two lines of symmetry.

(c) The figure has four lines of symmetry.

(d) The figure has two lines of symmetry.

(e) The figure has a single line of symmetry.

(f) The figure has two line of symmetry.

**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)**

**Solution**:

Vertical lines A, H, I, M, O, T, U, V, W, X, Y

Horizontal lines: B, C, D, E, H, I, K, O, X

No line of symmetry: F, G, J, L, N, P, Q, R, S, Z

**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.**

**Solution**:

The given figures when completed look like this,

## NCERT Solutions for Class 6 Maths Chapter 13: Symmetry Ex 13.3

**Exercise 13.3**

**Question 1:**

**Find the number of lines of symmetry in each of the following shapes. How**

**will you check your answer?**

**Solution**:

**Question 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.**

**Solution**:

The completed figures are as follows:

**Question 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?**

**Try for **

**Solution**:

Take the mirror image: