Question

rotate the point (-5,8) around the origin 270 degrees counterclockwise. state the image of the point. (5,-8) (8,5) (-8,5) (8,-5)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 270 - degrees counter - clockwise around the origin is $(x,y)\to(y, - x)$.

Step2: Apply the rule

Given the point $(-5,8)$, substituting $x=-5$ and $y = 8$ into the rule, we get $(8,5)$.

Answer:

B. $(8,5)$