Question

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

Explanation:

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

• The rule for a \(180^{\circ}\) - clock - wise rotation about the origin \((0,0)\) is \((x,y)\to(-x,-y)\).
• From the graph, we can see that the coordinates of point \(A\) are \((- 9,-8)\).

1. Then, apply the rotation rule:

• For \(x=-9\) and \(y = - 8\), after the \(180^{\circ}\) clock - wise rotation, the new \(x\) - coordinate is \(-(-9)=9\), and the new \(y\) - coordinate is \(-(-8)=8\).

Answer:

The coordinates of the image of point \(A\) are \((9,8)\).