Question

1. rotating the point (2,5) by 90 degrees counterclockwise around the origin results in: a. (5,2) b. (5, - 2) c. (-2,-5) d. (-5,2)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 90 - degrees counter - clockwise around the origin is $(x,y)\to(-y,x)$.

Step2: Apply the rule

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

Answer:

d. $(-5,2)$