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.
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A regular hexagon has rotational symmetry of order:
- 2
- 3
- 4
- 6
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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.
Which of the following quadrilaterals has rotational symmetry of order 4?
- Rectangle
- Rhombus
- Square
- Kite
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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.
What is the order of rotational symmetry of a letter 'Z'?
- 1
- 2
- 3
- 4
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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.
The angle of rotation for a regular pentagon to coincide with itself for the first time after the initial position is:
- 36 degrees
- 72 degrees
- 108 degrees
- 144 degrees
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Answer: B. 72 degrees
A regular pentagon has 5 sides. The angle of rotation for each step is 360 degrees / 5 = 72 degrees.
A shape has rotational symmetry of order 6. What is the angle of rotation for the second coincidence?
- 60 degrees
- 120 degrees
- 180 degrees
- 360 degrees
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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.