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Can we have a rotational symmetry of order more than 1 whose angle of rotation is:
$(i).\ 45^{\circ}$?
$(ii).\ 17^{\circ}$?
Given: Angle of rotation:
$(i).\ 45^{\circ}$? $(ii).\ 17^{\circ}$?
To do: To find that Can we have rotational symmetry of order more than 1 whose angle of rotation is:
$(i).\ 45^{\circ}$? $(ii).\ 17^{\circ}$?
Solution:
When an object is rotated in a particular direction, around a point, then it is known as rotational symmetry, also known as radial symmetry. Rotational symmetry exists when a shape is turned, and the shape is identical to the origin.
If the given angle is a factor of $360^{\circ}$, only then the figure will have rotational symmetry of order more than one.
$(i)$. $45^{\circ}$ is a factor of $360^{\circ}$, so the figure will have 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 rotational symmetry of order of more than 1.
Updated on: 10-Oct-2022
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