rotation 90 degrees counterclockwise about the orgin with these coordinates E(-1,-2) G(-5,-3) F (-3,-1)

Sure, I can help with that. When you rotate a point 90 degrees counterclockwise about the origin, the original x-coordinate becomes the negative of the original y-coordinate, and the original y-coordinate becomes the original x-coordinate.

Let's apply this rule to each of your points:

1. E(-1,-2): After rotation, the new coordinates will be (2, -1).
2. G(-5,-3): After rotation, the new coordinates will be (3, -5).
3. F(-3,-1): After rotation, the new coordinates will be (1, -3).

So, the coordinates of the points E, G, and F after a 90 degrees counterclockwise rotation about the origin are E(2, -1), G(3, -5), and F(1, -3) respectively.