Which of the following figures have rotational symmetry of order more than 1?

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(a) and (b)

(d) and (e)

(c)

(f)

answer is A.

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Detailed Solution

(a) Given diagram is,
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The given diagram is a circle, with four axes at the centre of the circle. So, it has four orders of rotational symmetry.
Hence it has rotational symmetry more than one.
(b) Given diagram is,
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The given diagram is a triangle. So, it has three orders of rotational symmetry.
Hence, it has rotational symmetry more than one.
(c) Given diagram is,

The given diagram has to be rotated only once to 360 degrees, then it resembles its original shape. So, its Rotational symmetry order is 1.
Hence, it has rotational symmetry of not more than one.
(d) Given diagram is,
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The rotational symmetry of the given diagram is,
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Rotate to 180 degrees,
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The given figure has rotational symmetry of order of 2.
Hence, the it has rotational symmetry of more than one.
(e) Given diagram is,
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The rotational symmetry of the given diagram is drawn below.
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The given diagram in the question has three axes, and has three rotational symmetry order.
Hence, it has rotational symmetry of more than one.
(f) Given diagram is,
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The rotational symmetry of the given diagram is,
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The given diagram in the question has four axes, and has four rotational symmetry order.
Hence, it has rotational symmetry of more than one.
Correct option is 1,2,4

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