Final answer:
The set of reflections and rotations that would carry rectangle ABCD onto itself is to reflect over the y-axis, reflect over the x-axis, and rotate 180°.
Step-by-step explanation:
To carry a rectangle onto itself, we need to perform a set of reflections and rotations that result in the same shape. From the given options, the correct set of transformations is:
- Reflect over the y-axis
- Reflect over the x-axis
- Rotate 180°
These three transformations preserve the shape, position, and orientation of the rectangle.