Find the center of the figure. Then rotate the figure about this center until it matches itself exactly.
Yes, because a 180^(∘) rotation produces an identical image.
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 diagram.
It seems that the figure from this diagram has rotational symmetry because it consists of two identical parts and we could made any part from the other by performing a rotation. To make sure that this is the case, let's first find the center of the figure. Its outermost edges form a square, so the center of this figure is the center of that square.
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.
As we can see, the figure only needs to rotate 180^(∘) to produce an identical image. Therefore, it has rotational symmetry.
