Question

The point P (-1,2) is rotated to become P' (2,1). Describe the rotation by degree and direction. Think of the Poltting of the Points and the Quadrants(1 point)
Responses

90°
°
Rotation
90degreeRotation

180°
180
°
Rotation
180 degreesRotation

−90°
−
90
°
Rotaion
negative 90 degreesRotaion

−270°
−
270
°
Rotation
negative 270 degreesRotation

Answer 1

To determine the rotation from point P (-1, 2) to point P' (2, 1), we can analyze the positions of the points on the Cartesian plane.

1. **Identify the Quadrants**:
- Point P (-1, 2) is in the second quadrant.
- Point P' (2, 1) is in the first quadrant.

2. **Analyze the Movement**:
- The rotation must involve a movement that switches the point’s x and y coordinates while changing their signs according to the rotation direction.
- To analyze how the point is moving:
- From (-1, 2) to (2, 1), the point moves to the right (in the positive x-direction) and downwards (in the negative y-direction).

3. **Determine the Angle of Rotation**:
- To rotate the point from the second quadrant to the first quadrant, we typically investigate a 90° rotation counterclockwise.
- However, visually or mathematically, we find that in this case, moving from (-1, 2) to (2, 1) corresponds to a **−90° (negative 90°) rotation**, or a clockwise rotation.

Thus, the correct rotation to describe the movement from point P (-1, 2) to point P' (2, 1) is **−90° (negative 90 degrees)** rotation.