We have the following general rule for the rotation of 180 degrees about the origin:
[tex]R_{180}(x,y)=(-x,-y)[/tex]
in this case, we have the following points:
[tex]\begin{gathered} T=(6,0) \\ O=(-2,-5) \\ P=(-2,5) \end{gathered}[/tex]
therefore, their rotation of 180 degrees about the origin is:
[tex]\begin{gathered} T^{\prime}=R_{180}(6,0)=(-6,0) \\ O^{\prime}=R_{180}(-2,-5)=(2,5) \\ P^{\prime}=R_{180}(-2,5)=(2,-5) \end{gathered}[/tex]
