Question

Which of the following is an equivalent transformation to a 90 clockwise rotation?
A. 90 degree clockwise rotation
B. a refelection about the y-axis
C. 270 degrees clockwise rotation
D. 270 degree counter clockwise rotation

Answer 1

To determine which transformation is equivalent to a 90-degree clockwise rotation, let's analyze the options provided:

1. **A. 90 degree clockwise rotation**: This is simply the original transformation, so it is equivalent.

2. **B. A reflection about the y-axis**: Reflecting a point across the y-axis does not correspond to a 90-degree clockwise rotation, so this is not equivalent.

3. **C. 270 degrees clockwise rotation**: A 270-degree clockwise rotation is effectively the same as a 90-degree counterclockwise rotation. However, from a 90-degree clockwise perspective, rotating 270 degrees clockwise will point in the same direction, so this option is equivalent.

4. **D. 270 degrees counter clockwise rotation**: A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation, as it moves in the opposite direction for the same angle. Therefore, this option is also equivalent.

To summarize, options A, C, and D are equivalent transformations to a 90-degree clockwise rotation. If you need to choose only one, the most direct answer is option A.

Thus, the equivalent transformations to a 90-degree clockwise rotation are:
- A (itself)
- C (270 degrees clockwise rotation)
- D (270 degrees counterclockwise rotation)

If you need one single answer for the question, A (90 degree clockwise rotation) is the best choice.