To determine what type of rotation maps point A to point A', we need to consider the degrees of rotation.
Here’s a brief overview of the rotation options given:
- A 90-degree rotation turns an object a quarter turn.
- A 180-degree rotation turns an object upside down, or a half turn.
- A -90-degree rotation is equivalent to a 270-degree rotation in the clockwise direction.
- A 270-degree rotation turns an object three-quarters of the way around.
Without a visual reference, it's difficult to ascertain which rotation is correct. If we assume point A is moved to point A' in the coordinate plane:
- If A' is 90 degrees counterclockwise from A, it's a 90-degree rotation.
- If A' is directly opposite A, it's a 180-degree rotation.
- If A' is 90 degrees clockwise from A, it's a -90-degree rotation.
- If A' is three-quarters of the way around from A, it's a 270-degree rotation.
If you have the positions of A and A' available, you would judge the answer based on their relative orientations.
If you can provide the orientations or a diagram, I could help you more accurately! Otherwise, you'll have to determine which of the listed rotation angles applies based on the specific positions of A and A'.