Question

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

Explanation:

Step1: Determine the original coordinates of point E

From the graph, the original coordinates of point E are \((4,-6)\).

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

The rule for a \(180^{\circ}\) rotation (clockwise or counter - clockwise) about the origin is \((x,y)\to(-x,-y)\).
For the point \((4,-6)\), when we apply the rule:
\(x = 4\) and \(y=-6\)
The new \(x\) - coordinate is \(-x=-4\)
The new \(y\) - coordinate is \(-y = 6\)

Answer:

The coordinates of the image of point E after a \(180^{\circ}\) clockwise rotation are \((-4,6)\)