Question

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

Explanation:

1. First, assume the coordinates of point \(T\):

• By observing the graph, the coordinates of point \(T\) are \((8,1)\).

1. Then, use the rule for a \(180^{\circ}\) - clock - wise rotation about the origin:

• The rule for a \(180^{\circ}\) rotation (clock - wise or counter - clockwise) about the origin \((0,0)\) for a point \((x,y)\) is \((x,y)\to(-x,-y)\).
• Here \(x = 8\) and \(y = 1\).
• After applying the rule, \(-x=-8\) and \(-y = - 1\).

Answer:

The coordinates of the image of point \(T\) after the \(180^{\circ}\) clock - wise rotation are \((-8,-1)\).