Question

question what is the image of the point (0, 2) after a rotation of 90° counterclockwise about the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $(0,2)$, where $x = 0$ and $y = 2$. Substitute into the rule: $(-y,x)=(-2,0)$.

Answer:

$(-2,0)$