If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

AcademicMathematicsNCERTClass 7

Rotational symmetry

Rotational symmetry is the property a shape has when it looks the same after some rotation by a partial turn. An object\'s degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation

Yes, when a figure has two or more lines of symmetry, it has rotational symmetry of order more than 1, because every line through the center forms a line of symmetry and it has rotational symmetry around the center for every angle. 

For Example: An equilateral triangle has three lines of symmetry. It shows rotational symmetry at angles $120^{\circ}$, $240^{\circ}$ and $360^{\circ}$. Hence, the order of rotational symmetry is 3.
raja
Updated on 10-Oct-2022 13:39:21

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