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 \((1,3)\).

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

The rule for a \(180^{\circ}\) counter - clockwise rotation about the origin \((x,y)\to(-x,-y)\).
Substitute \(x = 1\) and \(y=3\) into the rule: \((1,3)\to(-1,-3)\)

Answer:

\((-1,-3)\)