1. **State the problem:** We have triangle RST with vertices \(R(0,6)\), \(S(6,7)\), and \(T(8,1)\). We want to find the coordinates of the vertices after a 180° rotation about the origin. 2. **Formula for 180° rotation about the origin:** A point \((x,y)\) rotated 180° about the origin maps to \((-x,-y)\). 3. **Apply the rotation to each vertex:** - For \(R(0,6)\): \[ R' = (-0,-6) = (0,-6) \] - For \(S(6,7)\): \[ S' = (-6,-7) \] - For \(T(8,1)\): \[ T' = (-8,-1) \] 4. **Final answer:** \[ R'(0,-6),\quad S'(-6,-7),\quad T'(-8,-1) \] These are the coordinates of the triangle vertices after a 180° rotation about the origin.