Question

Rotate the point L(-4,5) 90° clockwise around the origin.

Answer 1

To rotate the point L(-4,5) 90° clockwise around the origin, swap the x and y coordinates then negate the new y-coordinate. The new position will be L'(5,-4).

Step-by-step explanation:

To rotate the point L(-4,5) 90° clockwise around the origin, we use the rules of rotation in the coordinate plane. When rotating points, a 90° clockwise rotation is equivalent to reflecting the point over the x-axis, and then reflecting it over the y=x line.

Step by step, it goes like this:

1. Start with point L(-4,5).
2. For a 90° clockwise rotation: Swap the x and y coordinates.
3. Negate the new y-coordinate.
4. The transformed coordinates will be the x-coordinate of the original point for the new y-value, and the negative of the original y-coordinate for the new x-value.

After performing these steps, the new coordinates of point L after a 90° clockwise rotation will be L'(5,-4).

The complete question is: Rotate the point L(-4,5) 90° clockwise around the origin. is: