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 Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.2

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.2 are the part of NCERT Solutions for Class 6 Maths. Here you can find the NCERT Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.2.

### Ex 13.2 Class 6 Maths Question 1.

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

Solution:
(a) In this figure, there are four symmetric lines l, m, n and o. Thus, it has four lines of symmetry.

(b) In this figure, there are four symmetric lines p, q, r and s. Thus, it has four lines of symmetry.

(c) In this figure, there are four symmetric lines u, v, w and x. Thus, it has four lines of symmetry.

(d) In this figure, only one line of symmetry which is shown as m.

(e) The given figure has six lines of symmetry a, b, c, d, e and f as shown below.

(f) The given figure has six lines of symmetry l, m, n, o, p and q as shown below.

(g) The given figure has no line of symmetry.

(h) The given figure has no line of symmetry.

(i) The given figure has five lines of symmetry as shown below.

### Ex 13.2 Class 6 Maths 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:
(a) This is an isosceles triangle having one line of symmetry.

(b) This is an isosceles triangle having only one line of symmetry.
(c) This is an isosceles right-angled triangle which has only one line of symmetry.
(d) This is a scalene triangle. It has no line of symmetry.

### Ex 13.2 Class 6 Maths Question 3.

Complete the following table.

 Shape Rough figure Number of lines of symmetry Equilateral triangle 3 Square Rectangle Isosceles triangle Rhombus Circle

Solution:
Completed table:

 Shape Rough figure Number of lines of symmetry (a) Equilateral triangle 3 (b) Square 4 (c) Rectangle 2 (d) Isosceles triangle 1 (e) Rhombus 2 (f) Circle Infinite

### Ex 13.2 Class 6 Maths 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 right-angled triangle has exactly one line of symmetry.

(b) No, we cannot draw any triangle with two lines of symmetry.
(c) Yes, an equilateral triangle has exactly three lines of symmetry.
(d) Yes, a scalene triangle has no lines of symmetry.

### Ex 13.2 Class 6 Maths Question 5.

On a squared paper, sketch the following:
(Ð°) 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:
(a) The figure below shows an isosceles triangle with a horizontal line of symmetry but no vertical line of symmetry.

(b) A rectangle (quadrilateral) shows both the horizontal and vertical lines of symmetry.

(c) The given trapezium (quadrilateral) shows the horizontal line of symmetry but no vertical line of symmetry.

(d) The hexagon given below shows only two lines of symmetry.

(e) The regular hexagon given below shows six lines of symmetry.

### Ex 13.2 Class 6 Maths Question 6.

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

Solution:
(a) The given figure has no line of symmetry, because it is not symmetrical.

(b) The given figure has two lines of symmetry.

(c) The given figure has four lines of symmetry.

(d) The given figure has two lines of symmetry.

(e) The given figure has only one horizontal line of symmetry.

(f) The given figure has two lines of symmetry.

### Ex 13.2 Class 6 Maths 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) The following letters have vertical lines of symmetry:
A, H, I, M, O, T, U, V, W, X and Y
(b) The following letters have horizontal lines of symmetry:
B, C, D, E, H, I, K, O and X
(c) The following letters have no lines of symmetry:
F, G, J, L, N, P, Q, R, S and Z

### Ex 13.2 Class 6 Maths 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 will be seen as follows when they are completed.

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