Question

the point w(-2, 6) is rotated 180° counterclockwise around the origin. what are the coordinates of the resulting point w?

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180° counter - clockwise around the origin, the new coordinates $(x',y')$ are given by $(x',y')=(-x,-y)$.

Step2: Apply rule to point W

The point W has coordinates $(-2,6)$. Using the rule, $x=-2$ and $y = 6$. Then $x'=-(-2)=2$ and $y'=-6$.

Answer:

$(2,-6)$