To determine the composition of transformations that map the rectangle $ABCD$ to $A'B'C'D'$, we need to analyze the steps provided:

1. Rotation: The first transformation mentioned is a clockwise rotation about the origin. Based on the positions of $ABCD$ and $A'B'C'D'$, it seems that the figure has been rotated 90° clockwise. In general, a 90° clockwise rotation about the origin transforms the coordinates $(x, y)$ to $(y, -x)$.

   Let’s check:

   • $A(-5, 6) \rightarrow A'(6, -5)$
   • $B(-3, 6) \rightarrow B'(6, -3)$
   • $C(-3, 2) \rightarrow C'(2, -3)$
   • $D(-5, 2) \rightarrow D'(2, -5)$

   All points confirm a 90° clockwise rotation.

2. Reflection: The second transformation is a reflection. After the 90° rotation, the figure is reflected over the x-axis, because the signs of the y-coordinates in the final positions of $A'B'C'D'$ are opposite to those in the rotated version.

Thus, the composition of transformations is:

• Rotate 90° clockwise about the origin.
• Reflect over the x-axis.

Would you like a more detailed breakdown or further clarification?

Here are 5 related questions you can explore:

1. What are the rules for other common rotations (e.g., 180°, 270°) about the origin?
2. How would the transformation change if reflected over the y-axis instead of the x-axis?
3. What are the formulas for reflections over other lines, like $y = x$ or $y = -x$?
4. How does the order of transformations (e.g., reflecting first, then rotating) affect the result?
5. How would you find the image of a point under a combination of dilation and rotation?

Tip: Always apply transformations step-by-step, checking each point to ensure accuracy in composite transformations.