We will now draw the image of △ ABC after a 90^(∘) clockwise rotation about vertex C. For simplicity, let's start by rotating only one point. We will use vertex B. To do so, we will use a protractor to draw a ray that makes a 90^(∘) angle with CB at C.
On this ray, we will mark a point B' such that CB' is the same length as CB. This is the image of B after the rotation.
Next, to obtain A' we will repeat the same process for vertex A. Furthermore, since C is the point at which the triangle is rotated, C' will be in the same position as C. The coordinates of the images of the vertices are A'(3,3), B'(-2,5), C'(-2,1).
Finally, we will connect A', B' and C', to obtain the image of △ ABC.
Therefore, the correct option is H.
Extra
Visualizing the Rotation
Let's rotate △ ABC 90^(∘) clockwise about the vertex C so that we can see how it is mapped onto △ A'B'C'.
