Symmetry Class 6 Solutions Question Answer

By using Ganita Prakash Book Class 6 Solutions and Chapter 9 Symmetry Class 6 NCERT Solutions Question Answer, students can improve their problem-solving skills.

Class 6 Maths Chapter 9 Symmetry Solutions

Symmetry Class 6 Solutions Questions and Answers

9.1 Line of Symmetry Figure it Out (Page 219)

Question 1.
Do you see any line of symmetry in the figures at the start of the chapter? What about in the picture of the cloud?
Solution:
Yes, in Flower, Butterfly, Rangoli, Pinwheel, Taj Mahal and Gopuram. But there is no line of symmetry in the picture of cloud.

Question 2.
For each of the following figures, IdentIfy the line(s) of symmetry if it exists.

Solution:

9.1 Line of Symmetry Figure it Out (Page no. 223 – 230)

Punching Game
The fold is a line of symmetry. Punch holes at different locations of folded square sheet of paper using a punching machine and create different symmetric patterns.

Question 1.
In each of the following figures, a hole was punched
In a folded square sheet of paper and then the paper was unfolded. Identify the line along which the paper was folded.
Figure (d) was created by punching a single hole. How was the paper folded?

Solution:

Question 2.
Given the line(s) of symmetry, find the other hole(s):

Solution:

Question 3.
Here are some questions on paper cutting.
Consider a vertical fold. We represent it this way:

Similarly, a horizontal fold is represented as follows.

Question 4.
After each of the following cuts, predict the shape of the hole when the paper is opened. After you have made your prediction, make the cutouts and verify your answer.

Answer:

Question 5.
Suppose you have to get each of these shapes with some folds and a single straight cut. How will you do it?
(a) The hole in the centre is a square.

(b) The hole in the centre is a square.

Solution:

Question 6.
(i) How many lines of symmetry do these shapes have?

(ii) A triangle with equal sides and equal angles.

(iii) A hexagon with equal sides and equal angles.

Solution:
(i) 4 and 8, respectively.
(ii) 3
(iii) 6

Question 7.
Trace each fiure and draw the lines of symmetry, if any:

Solution:

Question 8.
Find the lines of symmetry for the kolam below.

Solution:

Question 9.
Draw the following.
(a) A triangle with exactly one line of symmetry
(b) A triangle with exactly three lines of symmetry
(C) A triangle with no line of symmetry
Is It possible to draw a triangle with exactly two lines of symmetry?
Solution:

Question 10.
Draw the following. In each case, the figure should contain at least one curved boundary.
(a) A figure with exactly one line of symmetry
(b) A figure with exactly two lines of symmetry
(c) A figure with exactly four lines of symmetry
Solution:

Question 11.
Copy the following on squared paper. Complete them so that the blue line is a line of symmetry. Problem (a) has been done for you.

Hint: For (c) and (f), see if rotating the book helps!
Solution:

Question 12.
Copy the following drawing on squared paper. Complete each one of them so that the resulting fiure has the two blue lines as lines of symmetry.

Solution:

Question 13.
Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a line of symmetry.

Solution:

9.2 Rotational Symmetry Figure it Out (Page 235 – 236)

Question 1.
Find the angles of symmetry for the given figures about the point marked.

Solution:
(a) 90°
(b) 360°
(c) 180°

Question 2.
Which of the following figures have more than one angle of symmetry?

Solution:
Following figures have more than one angle of symmetry.

Question 3.
Give the order of rotational symmetry for each figure.

Solution:
Order of rotational symmetry to given figure are 2, 4, 6, 3, 4, 5, respectively.

9.2 Rotational Symmetry Figure it Out (Page 238 – 239)

Question 1.
Colour the sectors of the circle below so that the figure has (i) 3 angles of symmetry, (ii) 4 angles of symmetry and (iii) what are the possible numbers of angles of symmetry you can obtain by colouring the sectors in different ways?

Solution:
(i) 3 angles of symmetry

(ii) Four angles of symmetry

(iii) Possible angle of symmetry are 30°, 60°, 90°, 180°, 360°. Hence, the required possible number of angles of symmetry is 5.

Question 2.
Draw two figures other than a circle and a square that have both reflection symmetry and rotational symmetry.
Solution:

Question 3.
Draw wherever possible, a rough sketch of
(a) a triangle with atleast two lines of symmetry and atleast two angles of symmetry.
(b) a triangle with only one line of symmetry but not having rotational symmetry.
(c) a quadrilateral with rotational symmetry but no reflection symmetry.
(d) a quadrilateral with reflection symmetry but not having rotational symmetry.
Solution:

Question 4.
In a figure, 60° is the smallest angle of symmetry. What are the other angles of symmetry of this figure?
Solution:
60°, 120°, 180°, 240°, 300°, 360°

Question 5.
In a figure, 60° is an angle of symmetry. The figure has two angles of symmetry less than 60°. What is its smallest angle of symmetry?
Solution:
30°, 15°

Question 6.
Can we have a figure with rotational symmetry whose smallest angle of symmetry is
(a) 45°?
(b) 17°?
Solution:
(a) Yes
(b) No

Question 7.
This is a picture of the new Parliament Building in Delhi.

(a) Does the outer boundary of the picture have reflection symmetry? If so, draw thefines of symmetries. How many are they?
(b) Does it have rotational symmetry around its centre? If so, find the angles of rotational symmetry.
Solution:
(a) Yes !

There are three angles of symmetry

(b) Yes
120°, 240° and 360°

Question 8.
How many lines of symmetry do the shapes in the first shape sequence in Chapter 1, Table 3, the Regular Polygons, have? What number sequence do you get?

Solution:
Do Yourself

Question 9.
How many angles of symmetry do the shapes in the first shape sequence in Chapter 1, Table 3, the Regular Polygons, have? What number sequence do you get?

Solution:
Do Yourself

Question 10.
How many lines of symmetry do the shapes in the last shape sequence in Chapter 1, Table 3, the Koch Snowflake sequence, have? How many angles of symmetry?

Solution:
Do Yourself

Question 11.
How many lines of symmetry and angles of symmetry does Ashoka Chakra have?

Solution:
Do Yourself