Question

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

Explanation:

1. First, assume the coordinates of point \(E\) are \((x,y)\).

• The rule for a \(180^{\circ}\) - clock - wise rotation about the origin \((0,0)\) of a point \((x,y)\) in the coordinate plane is \((x,y)\to(-x,-y)\).
• From the graph, we can observe that the coordinates of point \(E\) are \((4, - 5)\).

1. Then, apply the rotation rule:

• For \(x = 4\) and \(y=-5\), after a \(180^{\circ}\) clock - wise rotation, the new \(x\) - coordinate is \(-x=-4\), and the new \(y\) - coordinate is \(-y = 5\).

Answer:

The coordinates of the image of point \(E\) are \((-4,5)\)