Symmetry and rotational symmetry Quiz - ICSE Class 7 Mathematics

Free practice quiz: Symmetry and rotational symmetry (ICSE Class 7 Mathematics). 53 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 53 multiple-choice questions on Symmetry and rotational symmetry, and 52 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. A regular hexagon has rotational symmetry of order:

   1. 2
   2. 3
   3. 4
   4. 6
   Show answer

   Answer: D. 6

   A regular hexagon has six sides of equal length and six equal interior angles. When rotated by 360 degrees, it will coincide with its original position six times. Therefore, its order of rotational symmetry is 6.

2. Which of the following quadrilaterals has rotational symmetry of order 4?

   1. Rectangle
   2. Rhombus
   3. Square
   4. Kite
   Show answer

   Answer: C. Square

   A square has four equal sides and four right angles. It coincides with its original position after rotations of 90, 180, and 270 degrees, in addition to 360 degrees. Thus, its order of rotational symmetry is 4.

3. What is the order of rotational symmetry of a letter 'Z'?

   1. 1
   2. 2
   3. 3
   4. 4
   Show answer

   Answer: B. 2

   A letter 'Z' looks the same after a 180-degree rotation about its center. It does not look the same after 90 or 270-degree rotations. Therefore, its order of rotational symmetry is 2.

4. The angle of rotation for a regular pentagon to coincide with itself for the first time after the initial position is:

   1. 36 degrees
   2. 72 degrees
   3. 108 degrees
   4. 144 degrees
   Show answer

   Answer: B. 72 degrees

   A regular pentagon has 5 sides. The angle of rotation for each step is 360 degrees / 5 = 72 degrees.

5. A shape has rotational symmetry of order 6. What is the angle of rotation for the second coincidence?

   1. 60 degrees
   2. 120 degrees
   3. 180 degrees
   4. 360 degrees
   Show answer

   Answer: B. 120 degrees

   For rotational symmetry of order 6, the shape coincides with itself at rotations of 360/6 = 60 degrees, 2*60 = 120 degrees, 3*60 = 180 degrees, 4*60 = 240 degrees, and 5*60 = 300 degrees. The second coincidence is at 120 degrees.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Which of the following shapes has only one line of symmetry?
2. A rectangle has rotational symmetry of order:
3. Which letter of the English alphabet has both line symmetry and rotational symmetry of order 2?
4. What is the angle of rotation for a regular pentagon to coincide with itself for the first time after the initial position?
5. A rhombus which is not a square has rotational symmetry of order:
6. Which of the following shapes has an infinite number of lines of symmetry?
7. If a shape has rotational symmetry of order 3, it will coincide with its original position after rotating by:
8. How many lines of symmetry does a kite have?
9. A parallelogram which is not a rhombus or a rectangle has rotational symmetry of order:
10. A shape that looks the same after reflection across a line has:
11. What is the minimum number of lines of symmetry a triangle can have?
12. If a shape has rotational symmetry of order 1, it means:
13. Which of the following letters has only rotational symmetry of order 2 and no line symmetry?
14. The angle of rotation for a regular octagon to coincide with itself for the first time after the initial position is:
15. Which of the following shapes does NOT have rotational symmetry of order greater than 1?
16. A shape is said to have point symmetry if it has rotational symmetry of order:
17. Which of the following is a line of symmetry for a rhombus?
18. A regular pentagon has how many lines of symmetry?
19. Which of the following shapes has rotational symmetry of order 3?
20. A shape has 3 lines of symmetry. It must be a:
21. What is the angle of rotation for a square to coincide with itself for the first time after the initial position?
22. Which of the following letters has one line of symmetry and rotational symmetry of order 2?
23. A shape that looks the same after rotation by an angle less than 360 degrees is said to have:
24. How many lines of symmetry does a regular pentagon have?
25. If a shape has rotational symmetry of order 4, it means it will coincide with its original position after rotations of:
26. Which letter from the English alphabet has rotational symmetry of order 2 and two lines of symmetry?
27. A regular hexagon has how many lines of symmetry?
28. Which of the following shapes has exactly two lines of symmetry?
29. A shape that looks the same after rotation by 180 degrees about a central point has:
30. Which of the following shapes has NO lines of symmetry?
31. If a shape has rotational symmetry of order 5, what is the smallest angle of rotation for it to coincide with itself?
32. A parallelogram has rotational symmetry of order:
33. Which of the following letters has two lines of symmetry but NO rotational symmetry of order greater than 1?
34. A regular dodecagon has rotational symmetry of order:
35. Which of the following shapes has rotational symmetry of order 2, but no lines of symmetry?
36. A shape has 4 lines of symmetry. It must be a:
37. What is the angle of rotation for a regular hexagon to coincide with itself for the first time after the initial position?
38. Which letter of the English alphabet has only one line of symmetry and no rotational symmetry of order greater than 1?
39. Which of the following quadrilaterals has rotational symmetry of order 2 and two lines of symmetry?
40. A regular triangle has rotational symmetry of order:
41. Which of the following is NOT a line of symmetry for a square?
42. If a shape has rotational symmetry of order 3, the angle of rotation for the first coincidence is:
43. Which of the following letters has only one line of symmetry?
44. A shape has rotational symmetry of order 4. What is the total number of coincidences it makes with its original position in a full 360-degree rotation?
45. Which of the following shapes has both line symmetry and rotational symmetry of order 2?
46. A regular octagon has how many lines of symmetry?
47. If a shape has rotational symmetry of order 2, it will look the same after rotating by:
48. Which of the following letters has rotational symmetry of order 1 and exactly two lines of symmetry?

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