Question

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

Explanation:

1. First, assume the coordinates of point \(W\) are \((x,y)\). The rule for a \(180^{\circ}\) - clock - wise rotation about the origin \((0,0)\) is \((x,y)\to(-x,-y)\).

• Let's assume the coordinates of point \(W\) are \((- 8,-8)\) (by observing the position of point \(W\) on the coordinate - plane).

1. Then, apply the rotation rule:

• For a \(180^{\circ}\) clock - wise rotation, if \(x=-8\) and \(y = - 8\), then \(-x=-(-8)=8\) and \(-y=-(-8)=8\).

Step1: Identify the rotation rule

The rule for a \(180^{\circ}\) clock - wise rotation about the origin is \((x,y)\to(-x,-y)\).

Step2: Apply the rule to point \(W\)

Assume \(W(x = - 8,y=-8)\), then the new coordinates are \((-x,-y)=(8,8)\).

Answer:

\((8,8)\)