Find the center of the figure. Then rotate the figure about this center until it matches itself exactly.
No.
Practice makes perfect
Before we begin, let's recall what it means when a figure has rotational symmetry.
A figure has rotational symmetry if it can be mapped onto itself by a rotation of 180 ^(∘) or less about the center of the figure.
Now, let's take a look at the given figure.
It seems like the figure does not have rotational symmetry because there are no parts that look the same. To make sure that this is the case, let's first find the center of the figure. Its boundary is a circle so the center of this figure is the center of that circle.
Now, let's rotate this figure about its center. We know that it has rotational symmetry if the figure can be mapped onto itself by a rotation of 180 ^(∘) or less.
The figure does not match itself exactly during the rotation. This means that the figure does not have rotational symmetry.
