**NCERT Solutions for Class 6 Maths ****Chapter 13 – Symmetry ****comprises of the 3 Exercises**

**This Chapter contains the Exercises relating to the following topics, which are discussed in Chapter 13 – Symmetry Class 6 NCERT book : –**

- 13.1 Introduction
- 13.2 Making Symmetric Figures : Ink-blot Devils
- 13.3 Figures with Two Lines of Symmetry
- 13.4 Figures with Multiple (more than two) Lines of Symmetry
- 13.5 Reflection and Symmetry

### NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 – Symmetry

### NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 – Symmetry

### NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 – Symmetry

### NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 – Symmetry

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

**Solution:** Some common symmetrical objects are fan, notebook, chair and cricket bat.

**2. For the given figure, which one is the mirror line, l_{1} or l_{2}?**

**Solution: **Line *l*_{2} is the mirror line for the given figure.

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

**Solution:**

Out of these figures, only (a), (b), (d), (e) and (f) are symmetrical.

**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.**

**Solution:**

The completed diagrams will look as follows

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

**Solution:**

The completed diagram will look as follows

**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:**

The completed diagram will look as follows

### NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 – Symmetry

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

**Solution:**

**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!)**

**Solution:**

The lines of symmetry and type of triangle are shown below

**3. Complete the following table.**

**Solution: **The completed table will be as shown below

**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?**

(a) Yes, an isosceles triangle has exactly one line of symmetry.

(b) No, it is not possible to draw a triangle that has exactly two lines of symmetry.

(c) Yes, an equilateral triangle has exactly three line of symmetry.

(d) Yes, a scalene triangle has no lines of symmetry.

**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.**

**Solution:**

**(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.

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

**Solution:**

The lines of symmetry are as follows

**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)**

(a) Letters with vertical lines of symmetry are A, H, I, M, O, T, U, V, W, X and Y.

(b) Letters with horizontal lines of symmetry are B, C, D, E, H, I, O and X.

(c) Letters with no lines of symmetry are F, G, J, L, N, P, Q, R, S and 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.**

**Solution:**

The figures that would be seen when the design is cut off are

### NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.3 – Symmetry

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

**Solution:**

Number of lines of symmetry are shown in the table below

**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?**

**Solution:**

The completed figures will look as follows

**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

**Solution:**

The letters that look same in the mirror are A, H, I, M, O, T, U, V, W, X and Y.

Reflections of some letters are given below:

With this we come to the end of NCERT Solutions for Class 6 Maths Chapter 13. We hope these helped you study your subject.