Point A is the original point before rotating which point represents A after A (4,1) is rotated 90 counterclockwise B,C,D,E,F,G, or H
To determine the point that represents A after rotating (4,1) 90 degrees counterclockwise, we can use the rotation matrix formula.
Given the original point A(4,1), the rotation matrix for a counterclockwise rotation of 90 degrees is:
| 0 -1 |
| 1 0 |
Multiplying the rotation matrix by the original point (4,1) gives us:
| 0 -1 | | 4 | | -1 |
| 1 0 | * | 1 | = | 4 |
Therefore, after rotating (4,1) 90 degrees counterclockwise, point A is represented by (-1,4).