Question

1. what is the result of rotating a point (5, 2) 270 degrees counterclockwise around the origin?

a. (-5, 2)
b. (2, -5)
c. (-2, 5)
d. (5, -2)

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 $(5,2)$, substituting $x = 5$ and $y = 2$ into the rule, we get $(2,-5)$.

Answer:

B. $(2, - 5)$