Question

The point P (4,2) is rotate to become P'(-2,4). Describe the rotation by degree and direction.(1 point)
Responses

−90°
−
90
°
rotation
negative 90 degreesrotation

−270°
−
270
°
rotation
negative 270 degreesrotation

180°
180
°
rotation
180 degreesrotation

90°
90
°
rotation
90 degreesrotation

Answer 1

To determine the degree and direction of the rotation that transforms point P (4,2) to point P' (-2,4), we can analyze the coordinates of the points:

1. The original point P (4,2) lies in the first quadrant.
2. The new point P' (-2,4) lies in the second quadrant.

To visualize the rotation, consider the following steps:

- A rotation of **90 degrees counterclockwise** (or positive 90 degrees) around the origin would transform the point (x, y) to (-y, x). Therefore, applying this transformation:
- For P (4,2):
- New coordinates after a 90° rotation would be (-2, 4) which matches P'.

Thus, the correct transformation is:

**90° rotation** (counterclockwise).

So the answer is:
**90° rotation**.