Try rotating the red figure clockwise about the origin until it matches the blue one.
Yes, 90^(∘) 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 90^(∘), 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 a 360^(∘) - 90^(∘) = 270^(∘) 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.
