The correct transformation applied to $\triangle WXY$ to obtain $\triangle W'X'Y'$ is a counterclockwise rotation of 90° about the origin.

This is confirmed by observing the following:

1. When a point is rotated 90° counterclockwise around the origin, the coordinates of a point $(x, y)$ are transformed to $(-y, x)$.
2. Applying this transformation to each vertex of $\triangle WXY$:
   • $W(-2, 4)$ becomes $W'(-4, -2)$,
   • $X(2, 1)$ becomes $X'(-1, 2)$,
   • $Y(3, -2)$ becomes $Y'(2, -3)$.
3. These are the new positions of the vertices in $\triangle W'X'Y'$.

Do you want further details on this transformation? Here are 5 questions that can expand this topic:

1. What are the formulas for 180° and 270° rotations about the origin?
2. How does a reflection over the line $y = -x$ affect coordinates?
3. What is the general rule for rotating a figure clockwise about the origin?
4. How would reflecting $\triangle WXY$ across the y-axis affect its coordinates?
5. What are the differences between reflections and rotations in geometry?

Tip: To quickly identify a 90° counterclockwise rotation, swap the x and y coordinates of each point and change the sign of the new x-coordinate!