Let's take a look at the given diagram.

We want to find out whether the blue figure is a rotation of the red one about the origin. A rotation is a transformation that involves rotating, or turning, the figure about a point called the center of rotation. Let's see if we can turn the red figure about point

O

to form the blue one.

As we can see, the red figure intersects the blue one during a rotation. However, they do not match exactly at any point. For this reason, the blue figure is not a rotation about the origin of the red one.

Extra

Types of Transformations

Let's list the types of transformations that we learned so far.

Transformation	Definition
Translation	A transformation that involves sliding a figure without turning, rotating, or changing its size.
Reflection	A transformation that involves reflecting, or flipping, the figure in a line called the line of reflection. The result is a mirror image of the original figure.
Rotation	A transformation that involves rotating, or turning, the figure about a point called the center of rotation.

Exercise