To determine which transformation rule best describes the transformation of rectangle $WXYZ$ to $W'X'Y'Z'$, we need to analyze the changes in the coordinates. Here’s how to approach this step-by-step:

1. Understand each rule:

   • $A.(x,y) \to (-y,x)$: Rotates the figure 90° counterclockwise.
   • $B.(x,y) \to (-x,y)$: Reflects the figure across the $y$-axis.
   • $C.(x,y) \to (-y,-x)$: Rotates the figure 90° clockwise.
   • $D.(x,y) \to (-x,-y)$: Rotates the figure 180°.

2. Identify the transformation type:

   • Look for a pattern in how each vertex moves from its original coordinates in $WXYZ$ to $W'X'Y'Z'$. For example:
     • If $(x,y) \to (-x,-y)$, the figure has undergone a 180° rotation.
     • If $(x,y) \to (-y,x)$, it indicates a 90° counterclockwise rotation.

3. Match the rule to the transformation:

   • Check how the signs of the coordinates and their positions change from the original rectangle to the transformed rectangle.

If you provide the actual coordinate changes or a diagram, I can confirm the exact rule. Otherwise, analyze the problem using the above guidance.

Would you like help with specific coordinates or further clarification?

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Related Questions:

1. What is the difference between rotations and reflections in transformations?
2. How do you calculate the coordinates of a shape after a 90° clockwise rotation?
3. How can you verify a transformation using matrix multiplication?
4. What happens to a figure's orientation during a 180° rotation?
5. How does reflecting a figure across the $x$-axis differ from reflecting across the $y$-axis?

Tip:

Always track both the signs and order of coordinates when analyzing transformations—they determine the exact nature of the change.