Question

Point A is located at (-4,3). What are the coordinates of point A, after it is rotated 90 degrees counterclockwise using (0,0) as the center?

Answer 1

After a 90-degree counterclockwise rotation around the origin, the new coordinates of point A (-4,3) become (-3,-4).

Step-by-step explanation:

The student has asked about the new coordinates of point A after it has been rotated 90 degrees counterclockwise around the origin (0,0) in the Cartesian plane. To perform a 90-degree counterclockwise rotation around the origin, we can apply the rotation matrix or switch the x and y coordinates and change the sign of the former x-coordinate. In this case, point A is located at (-4,3). After a 90-degree counterclockwise rotation, the new coordinates of point A will be (-3,-4).