Question

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

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

Explanation:

Step1: Recall rotation rule

A 270 - degree counter - clockwise rotation around the origin has the rule $(x,y)\to(-y,x)$.

Step2: Apply the rule

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

Answer:

a. $(-2,5)$