Question

what is the image of the point (9, 8) after a rotation of 180 counterclockwise about the origin?

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to given point

For the point $(9,8)$, $x = 9$ and $y = 8$. Then $x'=-9$ and $y'=-8$.

Answer:

$(-9,-8)$