To determine the coordinates \( T' \) of point \( T \) after a rotation of 180 degrees about the origin, we can use the following mapping rule:
For a point \( T(x, y) \), the coordinates after a \( 180^\circ \) rotation about the origin are given by: \[ T'(x', y') = (-x, -y) \]
If you provide the specific coordinates of point \( T \), I can help you calculate \( T' \). If \( T \) is specified as \( (a, b) \), then: \[ T' = (-a, -b) \]
Please provide the coordinates of point \( T \) for a complete answer.