Question

A figure with angle of rotation as ${17}^{\circ }$ has rotational symmetry of order 3.

• A. True
• B. False

Answer 1

The correct option is B

False

The number of times an object coincides with its image in the process of a complete rotation about a point is called the order of rotational symmetry. To find the order, the formula is $\frac{360}{x}$, where x is the angle of rotation.

As $\frac{360}{17}$ is not a natural number, the order of symmetry is not defined for the given angle of rotation.