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Question
Which of the following figures have rotational symmetry of order more than 1:
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Solution
Rotational symmetry can be experienced when an object is rotated about the centre by a number of degrees and the object will appear the same.
The order of symmetry is the number of positions the object looks the same in a 360° rotation.
(a) So, the above figure has its rotational symmetry as 4.
(b) So, the above figure has its rotational symmetry as 3.
(c) So, the above figure has its rotational symmetry as 1.
(d) So, the above figure has its rotational symmetry as 2.
(e) So, the above figure has its rotational symmetry as 3.
(f) So, the above figure has its rotational symmetry as 4.
Hence, the rotational symmetry of order more than one are: (a), (b), (d), (e) and (f)
The order of symmetry is the number of positions the object looks the same in a 360° rotation.
(a) So, the above figure has its rotational symmetry as 4.
(b) So, the above figure has its rotational symmetry as 3.
(c) So, the above figure has its rotational symmetry as 1.
(d) So, the above figure has its rotational symmetry as 2.
(e) So, the above figure has its rotational symmetry as 3.
(f) So, the above figure has its rotational symmetry as 4.
Hence, the rotational symmetry of order more than one are: (a), (b), (d), (e) and (f)
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