Question

a point (2,3) is rotated 90° counterclockwise around the origin. its new coordinates are: (-3,2) (3,-2) (-2,3) (2,-3)

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $(2,3)$, where $x = 2$ and $y = 3$. Substitute into the rule: $(-y,x)=(-3,2)$.

Answer:

A. (-3,2)