Question

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

Explanation:

Step1: Determine the original coordinates of point Y

From the graph, the coordinates of point Y are \((-9,-8)\).

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

The rule for a \(180^{\circ}\) rotation (clockwise or counter - clockwise) about the origin is \((x,y)\to(-x,-y)\).
For the point \((x = - 9,y=-8)\), when we apply the rule:
\(x=-9\) becomes \(-x=-(-9) = 9\) and \(y = - 8\) becomes \(-y=-(-8)=8\)

Answer:

\((9,8)\)