What is the new point when you rotate a geometric figure with point (5,8) 270 degrees counter clockwise about the origin?

To rotate a point (x, y) 270 degrees counterclockwise about the origin, you can switch the x and y coordinates and negate the new x coordinate.

Given a point (5, 8), rotating it 270 degrees counter clockwise gives:

New x coordinate = -8
New y coordinate = 5

Thus, the new point after rotating a geometric figure with the point (5, 8) 270 degrees counterclockwise about the origin is (-8, 5).