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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!

Which transformation could have been applied to ΔWXY to obtain ΔW'X'Y'?

Discover how a 90° counterclockwise rotation around the origin transforms ΔWXY into ΔW'X'Y'. Learn about key transformation formulas, rotation rules, and coordinate changes for accurate results. Perfect for students in Grades 8-10 studying transformations in geometry.

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