Question

The point P (−1,2) is rotated to become P′ (2,1) . Describe the rotation by degree and direction.(1 point)
Responses

90° rotation clockwise
90° rotation clockwise

180° rotation clockwise
180° rotation clockwise

270° rotation clockwise
270° rotation clockwise

90° rotation counterclockwise

Answer 1

To analyze the transformation from point P (−1, 2) to point P′ (2, 1), we can visualize or calculate the coordinates to determine the rotation.

1. **Identify the center of rotation**: Since the points are both in the Cartesian plane and considering common rotation points, we can assume either the origin (0, 0) or another point. Let’s check against the origin for simplicity.

2. **Calculate the angles for rotations**:
- Original position P (−1, 2) can be represented as a point in the Cartesian plane.
- After rotation, point P′ has moved to (2, 1).

To determine the degree and direction:
- A **90° clockwise** rotation from the origin involves changing (x, y) to (y, -x). From P (−1, 2), a 90° clockwise rotation would yield (2, 1), which matches P′.
- Similarly, evaluating the transformation:
- For P (−1, 2): The coordinates convert as follows:
- 90° Clockwise: (2, -(-1)) = (2, 1) gives us P′.

Therefore, the transformation from point P (−1, 2) to point P′ (2, 1) is a **90° rotation clockwise**.

**The final answer is:**
90° rotation clockwise.