Question

the figure below is rotated 180° clockwise. what are the coordinates of the image of point a after this transformation?

Explanation:

Step1: Determine rotation rule

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

Step2: Identify original coordinates of point A

From the graph, the coordinates of point A are $(5,1)$.

Step3: Calculate new coordinates

For $x = 5,y = 1$, after rotation, $x'=-5,y'=-1$.

Answer:

$(-5,-1)$