Ex.14.3 Q7 Symmetry - NCERT Maths Class 7

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Question

Can we have a rotational symmetry of order more than \(1\) whose angle of rotation is –

(i) \(45^\circ\)                (ii) \(17^\circ\)

Text Solution

 

What is known?

Angle of rotations

What is unknown?

The figures have rotational symmetry of order more than \(1\) with the angles \(45^\circ\) and \(17^\circ\)

Reasoning:

If the given angle is a factor of \(360^\circ,\) then the figure will have rotational symmetry of order more than one otherwise not.

Steps:

(i) \(45^\circ\) is a factor of \(360^\circ,\) so the figure will have a rotational symmetry of order more than \(1\) and there would be \(8\) rotations.

(ii) \(17^\circ\) is not a factor of \(360^\circ,\) so the figure will not have a rotational symmetry of order more than \(1.\)

  
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