Question

what are the coordinates of point p and point p?

Explanation:

Step1: Determine the original coordinates of point P

Looking at the graph, the original point \( P \) has coordinates \((-1,1)\).

Step2: Apply the 180 - degree rotation rule

The rule for a 180 - degree rotation around the origin \((x,y)\to(-x,-y)\).
For the point \(P(-1,1)\), when we apply the rotation:
\(x=-1,y = 1\), then \(-x=1\) and \(-y=-1\)

Answer:

\(P(1,-1)\)