Class 6 Maths Chapter 9 MCQ

NCERT CLASS 6 | MATHEMATICS | GANITA PRAKASH

Chapter 9: Symmetry MCQs

1. What is symmetry?
A. A figure with unequal parts
B. A figure with parts repeated in a definite pattern
C. A figure with only straight lines
D. A figure with no repeated parts
Answer: B. A figure with parts repeated in a definite pattern

2. Which of the following objects is shown as an example of symmetry in the chapter?
A. Cloud
B. Butterfly
C. Irregular stone
D. Broken glass
Answer: B. Butterfly

3. Which of the following figures is described as not having a repetitive pattern?
A. Flower
B. Rangoli
C. Pinwheel
D. Clouds
Answer: D. Clouds

4. Through what angle can the flower in the rangoli be rotated so that its red petals come back onto themselves?
A. 45°
B. 60°
C. 90°
D. 180°
Answer: C. 90°

5. What is a line of symmetry?
A. A line that divides a figure into two unequal parts
B. A line along which two parts exactly overlap when folded
C. A line joining two opposite corners only
D. A line that always passes through the centre
Answer: B. A line along which two parts exactly overlap when folded

6. What are the two matching parts formed by folding along a line of symmetry called?
A. Equal angles
B. Mirror halves
C. Diagonals
D. Radii
Answer: B. Mirror halves

7. What happens when a figure is folded along its line of symmetry?
A. Its two parts overlap exactly
B. Its two parts become different
C. Its shape changes
D. Its size doubles
Answer: A. Its two parts overlap exactly



8. Which of the following figures has four lines of symmetry?
A. Rectangle (not a square)
B. Square
C. Scalene triangle
D. Irregular quadrilateral
Answer: B. Square

9. How many lines of symmetry does a square have?
A. 1
B. 2
C. 3
D. 4
Answer: D. 4

10. Which of the following is a line of symmetry of a square?
A. Only one side
B. A diagonal
C. Any line outside the square
D. A curved line
Answer: B. A diagonal

11. Which of the following is NOT a line of symmetry of a square?
A. Vertical line through its centre
B. Horizontal line through its centre
C. Either diagonal
D. A line parallel to one side but not passing through its centre
Answer: D. A line parallel to one side but not passing through its centre



12. Is the diagonal of a rectangle that is not a square a line of symmetry?
A. Yes, always
B. No
C. Only for a long rectangle
D. Only for a narrow rectangle
Answer: B. No

13. What is reflection symmetry?
A. A figure that changes when folded
B. A figure having one or more lines of symmetry
C. A figure that can only be rotated
D. A figure with no equal parts
Answer: B. A figure having one or more lines of symmetry

14. When a square is reflected along its vertical line of symmetry, where does point A move in the labelled square shown in the chapter?
A. To the position of B
B. To the position of C
C. To the position of D
D. It disappears
Answer: A. To the position of B

15. What activity is used in the chapter to generate shapes having lines of symmetry?
A. Ink Blot Devils
B. Number puzzles
C. Measuring angles
D. Drawing graphs
Answer: A. Ink Blot Devils



16. In the Ink Blot Devils activity, what should be done after placing drops of ink on one half of folded paper?
A. Tear the paper
B. Press the halves together
C. Cut the paper into strips
D. Rotate the paper
Answer: B. Press the halves together

17. What is the main idea behind the paper folding and cutting activity?
A. To make irregular figures
B. To create symmetric shapes
C. To measure the length of paper
D. To calculate areas
Answer: B. To create symmetric shapes

18. In the punching game, what represents the line of symmetry?
A. The edge of the paper
B. The fold
C. The punched hole
D. The corner of the paper
Answer: B. The fold

19. What happens to holes punched in folded paper when it is unfolded?
A. They disappear
B. They form a symmetric pattern
C. They become larger
D. They move to the centre
Answer: B. They form a symmetric pattern

20. How was the paper folded to create the pattern with four holes in Figure (d) of the punching activity?
A. Only vertically
B. Only horizontally
C. Vertically and then horizontally, or vice versa
D. Along one diagonal only
Answer: C. Vertically and then horizontally, or vice versa

21. How many lines of symmetry does a triangle with equal sides and equal angles have?
A. 1
B. 2
C. 3
D. 4
Answer: C. 3

22. How many lines of symmetry does a hexagon with equal sides and equal angles have?
A. 3
B. 4
C. 5
D. 6
Answer: D. 6

23. Is it possible to draw a triangle with exactly two lines of symmetry?
A. Yes
B. No
C. Only on squared paper
D. Only with curved sides
Answer: B. No

24. What is rotational symmetry?
A. A figure that looks the same when folded
B. A figure that looks exactly the same after rotation through a certain angle
C. A figure with unequal sides
D. A figure that has only straight boundaries
Answer: B. A figure that looks exactly the same after rotation through a certain angle

25. What is the fixed point about which a figure is rotated called?
A. Centre of symmetry
B. Centre of rotation
C. Midpoint
D. Vertex
Answer: B. Centre of rotation

26. What is an angle of rotational symmetry?
A. An angle through which a figure can be rotated to look exactly the same
B. An angle between two sides only
C. An angle formed by a straight line
D. An angle that is always 90°
Answer: A. An angle through which a figure can be rotated to look exactly the same

27. Through what angle does the windmill in the chapter first look exactly the same after rotation?
A. 45°
B. 60°
C. 90°
D. 120°
Answer: C. 90°

28. Which of the following is an angle of symmetry of the windmill shown in the chapter?
A. 45°
B. 90°
C. 100°
D. 150°
Answer: B. 90°

29. Which of the following is NOT an angle of symmetry of the windmill?
A. 90°
B. 180°
C. 270°
D. 45°
Answer: D. 45°

30. How many angles of symmetry does the windmill have?
A. 2
B. 3
C. 4
D. 5
Answer: C. 4

31. What happens when any figure is rotated through 360°?
A. It becomes twice its size
B. It returns to its original position
C. It changes its shape
D. It becomes a mirror image
Answer: B. It returns to its original position

32. Through what smallest angle does a square coincide with itself after rotation?
A. 45°
B. 60°
C. 90°
D. 180°
Answer: C. 90°

33. How many angles of symmetry does a square have?
A. 2
B. 3
C. 4
D. 5
Answer: C. 4

34. Which set contains all the angles of symmetry of a square?
A. 90°, 180°, 270°, 360°
B. 45°, 90°, 135°, 180°
C. 60°, 120°, 180°, 240°
D. 90°, 150°, 210°, 360°
Answer: A. 90°, 180°, 270°, 360°

35. What happens to the strip shown in the chapter when it is rotated through 180°?
A. It overlaps with the original figure
B. It does not overlap with the original figure
C. It becomes a square
D. It disappears
Answer: B. It does not overlap with the original figure

36. When does the strip shown in the chapter return to its original shape?
A. After 90° rotation
B. After 180° rotation
C. After 270° rotation
D. After 360° rotation
Answer: D. After 360° rotation

37. What is the angle between adjacent central dotted lines in the four-radial-arm figure shown in the chapter?
A. 45°
B. 60°
C. 90°
D. 120°
Answer: C. 90°

38. How many angles of symmetry does a four-radial-arm figure with equal spacing have?
A. 2
B. 3
C. 4
D. 5
Answer: C. 4

39. What should be the angle between adjacent radial arms for a three-arm figure to have rotational symmetry?
A. 90°
B. 100°
C. 120°
D. 180°
Answer: C. 120°

40. How many angles of symmetry does a three-radial-arm figure with equal spacing have?
A. 2
B. 3
C. 4
D. 6
Answer: B. 3

41. What are the angles of symmetry of a three-radial-arm figure with equal spacing?
A. 90°, 180°, 270°
B. 120°, 240°, 360°
C. 60°, 120°, 180°
D. 180°, 270°, 360°
Answer: B. 120°, 240°, 360°

42. What is the smallest angle of symmetry for a figure with five equally spaced radial arms?
A. 60°
B. 72°
C. 90°
D. 120°
Answer: B. 72°

43. What is the smallest angle of symmetry for a figure with six equally spaced radial arms?
A. 45°
B. 60°
C. 72°
D. 90°
Answer: B. 60°

44. What is the smallest angle of symmetry for a figure with seven equally spaced radial arms?
A. 45°
B. 50°
C. 51 3/7°
D. 60°
Answer: C. 51 3/7°

45. Which statement about the angles of symmetry is correct?
A. They are always odd numbers
B. They are multiples of the smallest angle of symmetry
C. They are always 90°
D. They are always less than 180°
Answer: B. They are multiples of the smallest angle of symmetry

46. What happens when a circle is rotated about its centre?
A. It coincides with itself for every angle of rotation
B. It coincides with itself only at 90°
C. It coincides with itself only at 180°
D. It never coincides with itself
Answer: A. It coincides with itself for every angle of rotation

47. How many lines of reflection symmetry does a circle have?
A. 1
B. 2
C. 4
D. Every diameter is a line of symmetry
Answer: D. Every diameter is a line of symmetry

48. Which of the following is shown as an example of an object having rotational symmetry?
A. Cloud
B. Wheel
C. Irregular stone
D. Open book
Answer: B. Wheel

49. Which of the following statements is true?
A. Every figure has only one line of symmetry
B. Every figure has rotational symmetry
C. A figure may have multiple lines of symmetry
D. No figure can have both types of symmetry
Answer: C. A figure may have multiple lines of symmetry

50. Which statement correctly describes the relationship between reflection and rotational symmetry?
A. Every figure with reflection symmetry must have rotational symmetry
B. Every figure with rotational symmetry must have reflection symmetry
C. Some figures may have both, while others may have only one type
D. No figure can have either type
Answer: C. Some figures may have both, while others may have only one type

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