NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.3

Ncert Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.3 Ncert Maths Class 6 Chapter 13 Exercise 13.3 Symmetry Exercise 13.3

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.3

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


Solution :
(a)

Number of lines of symmetry = 4
(b)

Number of lines of symmetry = 1
(c)

Number of lines of symmetry = 2
(d)

Number of lines of symmetry = 2
(e)

Number of lines of symmetry = 1
(f)

Number of lines of symmetry = 2

Question 2.
Copy the following drawing on squared paper. Complete each one of them such that the resulting figure has the two dotted lines as two lines of symmetry :

How did you go about completing the picture?
Solution :




Using the given lines of symmetry, we go about completing the picture.

Question 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?

Solution :
The letter A looks the same after reflection but not the letter B. The reason is that in reflection, the sense of direction changes. In the given letters, the letters O, M, N, H, T, V, and X look the same after reflections because these letters have a vertical line of symmetry.

Question 1

Identify the lines of symmetry in the given figures.

Solution

Students should fold or imagine folding the figures to check whether both halves overlap exactly.

Examples

Square

$\text{Square has 4 lines of symmetry}$

Rectangle

$\text{Rectangle has 2 lines of symmetry}$

Circle

$\text{Circle has infinitely many lines of symmetry}$

Question 2

Which alphabets have vertical line symmetry?

Examples of Capital Letters

The following letters have vertical symmetry:

• A
• H
• I
• M
• O
• T
• U
• V
• W
• X
• Y

These letters can be divided into identical left and right halves.

Question 3

Which alphabets have horizontal line symmetry?

Examples

• B
• C
• D
• E
• H
• I
• K
• O
• X

These letters have identical upper and lower halves.

Question 4

Which figures have more than one line of symmetry?

Solution

Square

$4\text{ lines of symmetry}$

Equilateral Triangle

$3\text{ lines of symmetry}$

Rectangle

$2\text{ lines of symmetry}$