RBSE Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.2

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 13 Symmetry Ex 13.2 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 13 Symmetry Ex 13.2

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

Answer:

In fig. (a), there are four lines of symmetry as shown in the figure : (d) In fig. (d), there is only one line of symmetry as shown in the figure:

(b)

Answer:

In fig. (b), there are four lines of symmetry as shown in the figure:

(c)

Answer:

In fig. (c), there are four lines of symmetry as shown in the figure:

(d)

Answer:

In fig. (d), there is only one line of symmetry as shown in the figure:

(e)

Answer:

In fig. (e), there are six lines of symmetry as shown in the figure:

(f)

Answer:

In fig. (f), there are six lines of symmetry as shown in the figure:

(g)

Answer:
The given figure is not symmetrical, therefore, it has no line of symmetry.

(h)

Answer:
The given figure is not symmetrical, therefore, it has no line of symmetry.

(i)

Answer:

The given figure has 4 line of symmetry as shown in the figure:

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!)
(a)

Answer:

The given figure is an isosceles triangle, it has only one line of symmetry.

(b)

Answer:

The given figure is an isosceles triangle, it has only one line of symmetry.

(c)

Answer:

The given figure is a right-angled isosceles triangle, it has only one line of symmetry.

(d)

Answer:

The given figure is a scalene triangle, which is not a symmetrical figure. Therefore, it has no line of symmetry.

Question 3.
Complete the following table:
Answer:

Question 4.
Can you draw a triangle which has:
Sketch a rough figure in each case.
(a) exactly one line of symmetry?
Answer:

Yes, an isosceles triangle has one line of symmetry.

(b) exactly two lines of symmetry?
Answer:
No, there is no triangle with two lines of symmetry.

(c) exactly three lines of symmetry?
Answer:

Yes, equilateral triangle has three lines of symmetry.

(d) no lines of symmetry?
Answer:
Yes, scalene triangle has no lines of symmetry.

Question 5.
On a squared paper, sketch the following:
(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
Answer:

(b) A quadrilateral with both horizontal and vertical lines of symmetry.
Answer:

(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
Answer:

(d) A hexagon with exactly two lines of symmetry.
Answer:

(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.)
Answer:

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

The given figure is not symmetrical and thus, it has no line of symmetry.

(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 line of symmetry.

(f)

The given figure has four lines of symmetry.

Question 7.
Consider the alphabets, A to Z. List among them the letters which have:

(a) vertical lines of symmetry (like A).
Answer:
Letters having vertical line of symmetry are:
A, H, I, M, O, T, U, V, W, X, Y.

(b) horizontal lines of symmetry (like B).
Answer:
Letters having horizontal lines symmetry are:
B, C, D, E, H, I, K, O, X.

(c) no lines of symmetry (like Q).
Answer:
Letters having no lines of symmetry:
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.

Answer: