Question

write the coordinates of the vertices after a rotation 180° counterclockwise around the origin.

Explanation:

Step1: Find the original coordinates

From the graph, we can see that the coordinates of point \(U\) are \((-9,-3)\).

Step2: Apply the rotation rule

The rule for a \(180^{\circ}\) counter - clockwise rotation around the origin is \((x,y)\to(-x,-y)\).
For point \(U(-9,-3)\), after rotation, \(x=-9\) becomes \(-x = 9\) and \(y = - 3\) becomes \(-y=3\).

Answer:

\(U'(9,3)\)