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If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?
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.
Updated on: 10-Oct-2022
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