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Can we have a rotational symmetry of order more than 1 whose angle of rotation is 45°?

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Question

Can we have a rotational symmetry of order more than 1 whose angle of rotation is 45°?

Short Answer
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Solution

It can be observed that if the angle of rotation of a figure is a factor of 360°, then it will have a rotational symmetry of order more than 1.

It can be checked that 45° is a factor of 360°. Therefore, the figure having an angle of rotation as 45° will have a rotational symmetry of order more than 1.

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Chapter 12: Symmetry - EXERCISE 12.3 [Page 197]

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NCERT Mathematics [English] Class 7
Chapter 12 Symmetry
EXERCISE 12.3 | Q 7. (i) | Page 197

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