Question

what will be the coordinates of point t after a 180° rotation about the origin? t (_, _) rule (-x, -y)

Explanation:

Step1: Identify the coordinates of point T

By observing the graph, the coordinates of point T are (3, 1).

Step2: Apply the 180 - degree rotation rule

The rule for a 180 - degree rotation about the origin is \((x,y)\to(-x,-y)\). Substitute \(x = 3\) and \(y = 1\) into the rule. We get \(-x=-3\) and \(-y = - 1\).

Answer:

\(T'(-3,-1)\)