Question

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

Explanation:

Step1: Find the original coordinates of point W

From the graph, the coordinates of point W are \((-6,2)\).

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

The rule for a \(180^{\circ}\) rotation about the origin is \((x,y)\to(-x,-y)\).
For the point \((-6,2)\), we substitute \(x = - 6\) and \(y = 2\) into the rule:
\(-x=-(-6)=6\) and \(-y=-2\)

Answer:

\((6,-2)\)