Respuesta :

Answer:

[tex]\begin{gathered} S^{\prime}(6,-5) \\ T^{\prime}(4,-7) \\ U^{\prime}(2,-1) \\ V^{\prime}(8,-1) \end{gathered}[/tex]

Step-by-step explanation:

Rotation of a point through 180°, about the origin for (x,y), it takes a new position (-x,-y). Then, for the quadrilateral STUV:

[tex]\begin{gathered} S(-6,5)=S^{\prime}(6,-5) \\ T(-4,7)=T^{\prime}(4,-7) \\ U(-2,1)=U^{\prime}(2,-1) \\ V(-8,1)=V^{\prime}(8,-1) \end{gathered}[/tex]