GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2

   

Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 Textbook Questions and Answers.

Gujarat Board Textbook Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2

Question 1.
Find the number of lines of symmetry for each of the following shapes:
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 1
Solution:
We find that:
(a) There are four lines of symmetry as shown by dotted lines ‘a’, ‘b’, ‘c’, and ‘d’.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 2
(b) There are four lines of symmetry as shown by the dotted lines l1, l2, l3, and l4.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 3
(c) There are four lines of symmetry as shown by p, q, r, and s (dotted lines).
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 4
(d) The figure has only one line of symmetry as shown by ‘t’ (a dotted line).
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 8
(e) There are six lines of symmetry as shown by the dotted lines l, m, n, o, p, and q in the figure.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 5
(f) In the figure, there are six lines of symmetry as shown by a, b, c, d, e, and f (dotted lines.)
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 6
(g) The given figure is not symmetrical, therefore it has no line of symmetry.
(h) The given figure is not symmetrical, therefore it has no line of symmetry.
(i) There are four lines of symmetry as shown by the dotted lines p1,p2,p3, and p4.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 7

GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2

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!).
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 51
Solution:

(a) The given figure is an equilateral triangle. It has three lines of symmetry as shown by the dotted lines l, m, and n.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 13

(b) The given figure is an isosceles triangle. It has one line of symmetry as shown by the dotted line p. IP
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 14

(c) The given figure is a right-angled triangle. It has one line of symmetry as shown by the dotted line q.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 15

(d) The given figure is a scalene triangle which is not a symmetrical figure. Therefore, there is no line of symmetry.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 16

GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2

Question 3.
Complete the following table.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 17
Solution:
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 18

Question 4.
Can you draw a triangle that has Sketch a rough figure in each case?
(a) exactly one line of symmetry?
Solution:
Yes, an isosceles triangle has exactly one line of symmetry, as shown in the following figure:
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 19

(b) exactly two lines of symmetry?
Solution:
No, we cannot draw a triangle having exactly two lines of symmetry.

(c) exactly three lines of symmetry?
Solution:
Yes, an equilateral triangle has exactly three lines of symmetry as shown below:
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 20

(d) no lines of symmetry?
Solution:
Yes, a scalene triangle has no lines of symmetry.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 21

GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2

Question 5.
On a squared paper, sketch the following:
Hint: It will be helpful if you first draw the lines of symmetry and then complete the figures.

(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
Solution:
An isosceles triangle with a horizontal line of symmetry only is shown in the following figure.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 22

(b) A quadrilateral with both horizontal and vertical lines of symmetry.
Solution:
The quadrilateral (rectangle) having both horizontal and vertical lines of symmetry is shown in the following figure.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 23

(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
Solution:
A quadrilateral having only a horizontal line of symmetry is shown in the following figure.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 24

(d) A hexagon with exactly two lines of symmetry.
Solution:
A hexagon having exactly two lines of symmetry is shown in the following figure.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 25

(e) A hexagon with six lines of symmetry.
Solution:
A hexagon having six lines of symmetry is shown in the following figure.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 26

Question 6.
Trace each figure and draw the lines of symmetry, if any:
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 52
Solution:

(a) The given figure is not symmetrical and thus, it has no line of symmetry.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 33

(b) The given figure has two lines of symmetry as shown by the dotted lines l and m.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 34

(c) The given figure has four lines of symmetry as shown by the dotted lines p,q,r, and s.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 35

(d) The given figure has two lines of symmetry as shown by the dotted lines l and m.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 36

(e) The given figure has one line of symmetry as shown by the dotted line ‘l’
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 37

(f) The given figure has two lines of symmetry as shown in the figure by the dotted lines ‘p’ and ‘q’.
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 38

GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2

Question 7.
Consider the letters of English alphabets, A to Z. List among them the letters which have
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 39
(a) vertical lines of symmetry (like A)
Solution:
The following letters are having vertical lines of symmetry: A, H, I, M, O. T, U, V, W, X, and Y.

(b) horizontal lines of symmetry (like B)
Solution:
The following letters are having horizontal lines of symmetry: B, C, D, E, H, I, K, O, and X.

(c) no lines of symmetry (like Q)
Solution:
The following letters are having no lines of symmetry.  G, J, L, N, P, Q, R, S, and 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
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 40
Solution:
The complete figure will be seen as given below: about the fold. J In each case,
GSEB Solutions Class 6 Maths Chapter 13 Symmetry Ex 13.2 img 41

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