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 \((-7,-4)\).

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

The rule for a \(180^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(-x,-y)\).
For the point \((x = - 7,y=-4)\), we substitute into the formula:
\(-x=-(-7) = 7\) and \(-y=-(-4)=4\)

Answer:

\((7,4)\)