NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.2

Ncert Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.2 Ncert Maths Class 6 Chapter 13 Exercise 13.2 Symmetry Exercise 13.2

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.2

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

Solution :

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 identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first!)

Solution :

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; an isosceles triangle

(b) No
(c) Yes; an equilateral triangle

(d) Yes, an equilateral 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 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 :


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



Solution :

no line 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 :
(a) A, H, I, M, O, T, U, V, W, X, Y
(b) B, C, D, E, H, I, K, O, X
(c) 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 :

Question 1

Complete the given symmetrical figures using the line of symmetry.

Solution Method

1. Observe the given half figure carefully.
2. Count equal distances from the line of symmetry.
3. Draw matching points on the opposite side.
4. Join the points neatly.

This creates the mirror image of the figure.

Question 2

Draw the mirror reflection of the given shapes.

Steps

1. Identify the line of symmetry.
2. Measure the distance of each point from the line.
3. Mark the same distance on the opposite side.
4. Connect the points properly.

The completed figure becomes symmetrical.

Question 3

Identify whether the given figures are symmetrical.

Solution

A figure is symmetrical if:

• Both halves are identical
• One half is the mirror image of the other

If both conditions are satisfied, the figure has symmetry.