Question

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

Explanation:

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

• However, since the figure is not provided with the coordinates of point \(Y\) clearly marked, we need to estimate from the graph. Let's assume the coordinates of point \(Y\) are \((- 8,-8)\) (by observing its position on the \(x\) - axis and \(y\) - axis).

1. Then, apply the rotation rule:

• According to the rule \((x,y)\to(-x,-y)\), when \(x = - 8\) and \(y=-8\), we have \(-x=-(-8) = 8\) and \(-y=-(-8)=8\).

Answer:

The coordinates of the image of point \(Y\) are \((8,8)\)