Try rotating the red figure clockwise about the origin until it matches the blue one.
Yes, 180^(∘) clockwise.
Practice makes perfect
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, when we perform a rotation clockwise by 180^(∘), the red figure moves onto the blue one. Note that this is just one of many possible rotations. For example, we can perform the rotation counterclockwise by the same angle. Let's make sure that the result will stay the same!
Extra
Types of Transformations
Let's list the types of transformations that we learned so far.
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.
