11
Question
Can we
have a rotational symmetry of order more than 1 whose angle of
rotation is
(i) 45°?
(ii) 17°?
Can we have a rotational symmetry of order more than 1 whose angle of rotation is
(i) 45°?
(ii) 17°?
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Solution
It can be
observed that if the angle of rotation of a figure is a factor of
360º, then it will have a rotational symmetry of order more than
1.
It can be
checked that 45º is a factor of 360º but 17º is not.
Therefore, the figure having its angle of rotation as 45º will
have its rotational symmetry of order more than 1. However, the
figure having its angle of rotation as 17º will not be having
its rotational symmetry of order more than 1.
It can be observed that if the angle of rotation of a figure is a factor of 360º, then it will have a rotational symmetry of order more than 1.
It can be checked that 45º is a factor of 360º but 17º is not. Therefore, the figure having its angle of rotation as 45º will have its rotational symmetry of order more than 1. However, the figure having its angle of rotation as 17º will not be having its rotational symmetry of order more than 1.
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