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Question

Question 1 Which of the following figures have rotational symmetry of order more than 1: (a) (b) (c) (d) (e) (f)

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Solution

Figures (a) and (f) will look the same if rotated by 90o, 180o, 270o or 360o. Hence, they have an order of 4. Figures (b) and (e) will look the same if rotated by 120o, 240o or 360o. Their order of rotational symmetry will thus be 3. If we rotate figure (d) by 180o or 360o, we will get the same figure. Hence, it has an order of 2. But option (c) has an order of only 1 since the same figure can be obtained if the figure is rotated by 360o. Therefore, the rotational symmetry of order more than 1 are (a),(b),(d),(e) and (f) because in these figures, a complete turn, more than 1 number of times, an object looks exactly the same.

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