Question

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

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule to point V

For point $V(6, - 6)$, where $x = 6$ and $y=-6$. Then $x'=-6$ and $y'=-(-6)=6$.

Answer:

$(-6,6)$