Extra Questions Answers for Class 6 Maths Chapter 9 Symmetry - Ganita Prakash
Chapter 9 Symmetry Extra Questions Answers for Class 6 Maths is provided here by studyrankers. All the questions are crafted by our experts by keeping in mind that all the important points must be covered. You can also Download PDF of Class 6 Maths Chapter 9 Symmetry Extra Questions which will boost the student confidence and help in solving the exercises and questions from the chapter. The chapter is taken from the new NCERT Mathematics textbook, Ganita Prakash.
These Revision Notes for Class 6 Maths will develop you understanding of the chapter and help in gaining good marks in the examinations. We have also provided Chapter 9 Symmetry NCERT Solutions which will help you in completing your homework on time. These NCERT Solutions will help an individual to increase concentration and you can solve questions of supplementary books easily. Students can also check Revision Notes for Symmetry Class 6 Maths to prepare for their examination completely.
Important Questions for Chapter 9 Symmetry Class 6 Maths
Multiple Choice Questions
Question 1. Which of the following figures has reflection symmetry but no rotational symmetry?
(a) Circle
(b) Scalene Triangle
(c) Equilateral Triangle
(d) Regular Pentagon
Answer
(b) Scalene Triangle
A scalene triangle has no rotational symmetry, but it has reflection symmetry if one of its axes of symmetry is drawn.
Question 2. How many angles of symmetry does a square have?
(a) 2
(b) 4
(c) 6
(d) 8
Answer
(b) 4
A square has rotational symmetry at angles of 90°, 180°, 270°, and 360°.
Question 3. Which of the following shapes has both reflection and rotational symmetry?
(a) Rectangle
(b) Parallelogram
(c) Equilateral Triangle
(d) Scalene Triangle
Answer
(c) Equilateral Triangle
The equilateral triangle has three lines of reflection symmetry and rotational symmetry of 120°.
Question 4. How many lines of symmetry does a regular hexagon have?
(a) 4
(b) 6
(c) 8
(d) 2
Answer
(b) 6
A regular hexagon has 6 lines of symmetry, and it also has rotational symmetry of 60°, 120°, 180°, 240°, 300°, and 360°.
Question 5. When a figure is rotated by 180° and it looks exactly the same, the figure has _____ symmetry.
(a) Reflection
(b) Rotational
(c) Translational
(d) No
Answer
(b) Rotational
A figure with rotational symmetry looks the same after a 180° rotation.
Question 6. Which of the following figures has both reflection symmetry and rotational symmetry?
(a) Rhombus
(b) Regular pentagon
(c) Circle
(d) Isosceles triangle
Answer
(c) Circle
A circle has infinite lines of symmetry and rotational symmetry.
Question 7. How many lines of symmetry and angles of symmetry does Ashoka Chakra have?
(a) 12
(b) 24
(c) 48
(d) 10
Answer
(a) 12
The Ashoka Chakra has 24 spokes spread equally.
24 spokes make 12 pairs.
A line through an opposite pair is a line of symmetry.
Hence, there are 12 lines of symmetry.
Question 8. A square has rotational symmetry of order _____.
(a) 3
(b) 2
(c) 4
(d) 6
Answer
(c) 4
A square has rotational symmetry of order 4 because it can be rotated by 90°, 180°, 270°, and 360° without changing its appearance.
Line of Symmetry
1. Draw Line of Symmetry for the following shapes
(a) 
(b) 
(c) 
Answer
(a) 
(b) 
(c) 
2. Draw the line (s) of symmetry for each of the following figures :
Answer
Fill in the Blanks
Question 1. A line that divides a figure into two identical halves is called a _____ of symmetry.
Answer
Line
A line of symmetry is a line that divides a figure into two identical parts, where one half is the mirror image of the other.
Question 2. The shape of a _____ remains the same when rotated by any angle.
Answer
Circle
A circle has infinite lines of symmetry and remains unchanged no matter the angle of rotation.
Question 3. A square has _____ lines of symmetry.
Answer
4
A square can be divided into two identical halves along four lines: two diagonals, one vertical, and one horizontal.
Question 4. A figure with no line of symmetry is called _____.
Answer
Asymmetrical
An asymmetrical figure cannot be divided into two identical halves.
Question 5. The _____ is the point around which a figure is rotated in rotational symmetry.
Answer
Centre of rotation
The center of rotation is the fixed point around which a figure rotates to show symmetry.
True/False
Question 1. Every shape with a line of symmetry must also have rotational symmetry.
Answer
False
Some shapes may have a line of symmetry but lack rotational symmetry, and vice versa.
Question 2. A rectangle has two lines of symmetry.
Answer
True
A rectangle has two lines of symmetry: one vertical and one horizontal.
Question 3. State whether the following statements are True or False :
(i) Perpendicular bisector of a line segment is also its line of symmetry.
(ii) Angle bisector of an angle, with equal arms, is also its line of symmetry.
(iii) All the chords of a circle are its lines of symmetry.
(iv) A pentagon can have exactly one line of symmetry.
(v) A regular octagon has 8 lines of symmetry.
(vi) Two diagonals of a rectangle are its lines of symmetry.
(vii) 
This figure has 4 lines of symmetry.
Answer
(i) True
(ii) True
(iii) False
(iv) False
(v) True
(vi) False
(vii) False
Question 4. The number of angles of symmetry in a hexagon is four.
Answer
False
A regular hexagon has six angles of symmetry, corresponding to rotations of 60°, 120°, 180°, 240°, 300°, and 360°.
Question 5. A circle has an infinite number of lines of symmetry.
Answer
True
Any circle's diameter can be a line of symmetry, so there are infinite such lines.
Question 6. The smallest angle of symmetry in the Ashoka chakra is 30°.
Answer
True
There are 12 lines of symmetry in Ashoka chakra. Therefore, Smallest angle of symmetry = 360° ÷ 12 = 30°.
Solve this:
Question 1. In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.
Solution
Question 3. Match the following :
For example: A scalene triangle has no line of symmetry, so (c) is matched with (g).
Solution
(a) ↔ (l)
(b) ↔ (k)
(c) ↔ (g)
(d) ↔ (h)
(e) ↔ (j)
(f) ↔ (i)
Question 4. Consider the first ten capital letters of English alphabet, list among them the letters which have :
(i) Vertical lines of symmetry (e.g. A)
(ii) Horizontal lines of symmetry (e.g. B)
(iii) No lines of symmetry (e.g. F)
(iv) Both-vertical and horizontal lines of symmetry (e.g. H)
Solution
(i) A, H, I
(ii) B, C, D, E, H, I
(iii) F, G, J
(iv) H, I
Question 5. List the alphabets which are having a reflection about vertical symmetry.
Solution
A, H, I, M, O, T, U, V, W, X, Y.
Question 6. Draw a shape that does not have symmetry.
Solution
Question 7. Can we say that a circle has rotational symmetry?
Solution
The order of rotational symmetry with regards to a circle refers to the number of times a circle fits on to itself when undertaking a rotation of 360 degrees. A circle is associated with an order of rotational symmetry that is infinite.
Question 8. Does the image have a symmetry along x- axis?
Solution
The given image does not have symmetry along x- axis. However it is symmetrical diagonally.
Question 9. Show the rotational symmetry of an equilateral triangle.
Solution
An equilateral triangle has 3 sides of equal measure and each internal angle measuring 60° each. From the above figure, we see that the equilateral triangle exactly fits into itself 3 times at every angle of 120°. Thus, the order of rotational symmetry of an equilateral triangle is 3 and its angle of rotation is 120°.
Question 10. Draw the lines of Symmetry for the following shapes.
Solution
Question 11. Draw two figures other than a circle and a square that have both reflection symmetry and rotational symmetry.
Solution
Isosceles Triangle
- Reflection Symmetry: The isosceles triangle has one line of symmetry that divides it into two equal parts.
- Rotational Symmetry: The isosceles triangle has rotational symmetry of 180° because it looks the same when rotated 180° about its center.
Rhombus
- Reflection Symmetry: The rhombus has two lines of symmetry, one along its diagonals.
- Rotational Symmetry: The rhombus has rotational symmetry of 180°, meaning it can be rotated by 180° and still look the same.
