Question

When does a figure have rotational symmetry

Answer 1

Choose an object and rotate it up to 180 degrees around its center. If at any point the object appears exactly like it did before the rotation, then the object has rotational symmetry.

Answer 2

Explanation:

We are asked to determine when does a figure have rotational symmetry.

We know a figure has a rotational symmetry, when the figure maps onto itself after rotating it less than 180 degrees.

In other words, we can say it is the property that a shape has when it looks the exactly same after some rotation.

When a figure maps onto itself exactly at 180 degrees, then the figure has a point symmetry.

Therefore, a figure has rotational symmetry if it maps onto itself after a rotation less than 180 degrees.