Symmetry (Reflection & Rotation) Quiz - ICSE Class 8 Mathematics
Free practice quiz: Symmetry (Reflection & Rotation) (ICSE Class 8 Mathematics). 53 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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A square has how many lines of symmetry passing through its center?
- 1
- 2
- 3
- 4
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Answer: D. 4
A square has four lines of symmetry. Two lines pass through opposite vertices, and two lines pass through the midpoints of opposite sides. All these lines intersect at the center.
Which of the following letters of the English alphabet has no symmetry?
- A
- M
- P
- R
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Answer: D. R
The letter A has reflectional symmetry. The letter M has reflectional symmetry. The letter P has reflectional symmetry. The letter R has neither reflectional nor rotational symmetry (of order > 1).
The point of intersection of the diagonals of a square is the center for which types of symmetry?
- Only reflectional symmetry
- Only rotational symmetry
- Both reflectional and rotational symmetry
- Neither reflectional nor rotational symmetry
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Answer: C. Both reflectional and rotational symmetry
The diagonals of a square intersect at its center. This center is a point of rotational symmetry of order 4. Additionally, the lines containing the diagonals are lines of reflectional symmetry. Therefore, the intersection point is the center for both types of symmetry.
If a figure has rotational symmetry of order 4, it will coincide with its original position after rotations of which of the following angles?
- 72 degrees
- 90 degrees
- 120 degrees
- 150 degrees
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Answer: B. 90 degrees
Rotational symmetry of order 4 means the figure coincides with its original position every 360/4 = 90 degrees. So, it coincides at 90, 180, 270, and 360 degrees.
Which of the following figures has no rotational symmetry other than a full 360-degree rotation?
- Square
- Equilateral Triangle
- Scalene Triangle
- Circle
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Answer: C. Scalene Triangle
A square has rotational symmetry of order 4. An equilateral triangle has rotational symmetry of order 3. A circle has infinite rotational symmetry. A scalene triangle has no rotational symmetry of order greater than 1 (only the trivial 360-degree rotation).