NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.2

Exercise 13.2

Ex 13.2 Class 6 Maths Question 1.
Find the number of lines of symmetry for each of the following shapes.

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
(a) Here, there are four symmetric lines l, m, n and o.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(b) In this figure, there are four symmetric lines p, q, r and s.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(c) In this shape, u, v , w and x are four lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(d) In this shape only m is the line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(e) Here, a, b, c, d, e and fare six lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(f) In this figure l, m, n, o, p and q are six lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(g) This figure has no lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(h) This figure has no lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(i) This figure has five lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.2 Class 6 Maths Question 2.
Copy the triangle in each of the 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!)
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
(a) It is an isosceles triangle having one symmetric line.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(b) This figure is an isosceles triangle having only one symmetric line.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(c) It is an isosceles right angled triangle which has only one symmetric line.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(d) It is a scalene triangle. It has no symmetric line.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.2 Class 6 Maths Question 3.
Complete the following table.

Shape Rough figure Number of lines of symmetry
Equilateral triangle NCERT Solutions For Class 6 Maths Chapter 13 Symmetry 3
Square
Rectangle
Isosceles triangle
Rhombus
Circle

Solution:
Completed table:

Shape Rough figure Number of lines of symmetry
(a) Equilateral triangle NCERT Solutions For Class 6 Maths Chapter 13 Symmetry 3
(b) Square  NCERT Solutions For Class 6 Maths Chapter 13 Symmetry 4
(c) Rectangle  NCERT Solutions For Class 6 Maths Chapter 13 Symmetry 2
(d) Isosceles triangle  NCERT Solutions For Class 6 Maths Chapter 13 Symmetry 1
(e) Rhombus  NCERT Solutions For Class 6 Maths Chapter 13 Symmetry 2
(f) Circle  NCERT Solutions For Class 6 Maths Chapter 13 Symmetry 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 lings of symmetry?
Sketch a rough figure in each case.
Solution:
(a) Yes, Isosceles right angled triangle has exactly one line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(b) No, we cannot draw any triangle with two symmetric lines.
(c) Yes, equilateral triangle has three lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(d) Yes, Scalene triangle has no lines of symmetry
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.2 Class 6 Maths Question 5.
On a squared paper, sketch the following:
(а) 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 shows an isosceles triangle with horizontal line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(b) Rectangle (quadrilateral) shows both the horizontal and vertical lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(c) Trapezium (quadrilateral) shows the horizontal but no vertical line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(d) The hexagon drawn below shows only two lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(e) The regular hexagon shows the six lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.2 Class 6 Maths Question 6.
Trace each figure and draw the lines of symmetry, if any.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
(a) The given figure has no line of symmetry as it is not symmetrical.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(b) The given figure has two lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(c) The given figure has four lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(d) The given figure has two lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(e) This figure has only one horizontal line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(f) The given figure has two lines of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 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.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
The given figures will be seen as follows when they are completed.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q1

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q2

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q3

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q4

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q5

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q6

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q7

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q8

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q9

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q10

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q11

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q12

NCERT Solutions For Class 6 Maths Symmetry Exercise 13.2 Q14

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