Question

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

Explanation:

Step1: Determine the original coordinates of point X

From the graph, the coordinates of point X are \((3,-9)\).

Step2: Apply the rule for a \(180^{\circ}\) counterclockwise rotation

The rule for a \(180^{\circ}\) counterclockwise rotation about the origin is \((x,y)\to(-x,-y)\).
Substitute \(x = 3\) and \(y=-9\) into the rule:
\((3,-9)\to(-3,9)\)

Answer:

\((-3,9)\)