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

Question

The options are
A (8, 5)
B (-5, 8)
C (8, -5)
D (-8, -5)

Answer 1

To rotate a point counterclockwise about the origin, we can use the following rotation rule:

(x, y) -> (-y, x)

In this case, the initial point is (5, 8). Applying the rotation rule, we have:

(-8, 5)

Therefore, the new point after rotating (5, 8) 270 degrees counterclockwise about the origin is:

(-8, 5)

So, the answer is D.