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

a (8, -5)
b (-5, 8)
c (8, 5)
d (-8, -5)

To rotate a point counterclockwise 270 degrees about the origin, we can swap the x and y coordinates and change the sign of the new x coordinate.

Given the point (5, 8), the new point after rotating counterclockwise 270 degrees about the origin would be (-8, 5).

Therefore, the correct answer is d) (-8, -5).