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

For a 90 - degree counter - clockwise rotation around the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given the point $(2,5)$, where $x = 2$ and $y = 5$. After applying the rule, we get $(-5,2)$.

Answer:

B. $(-5,2)$