Solution:
Given that the first triangle has points
[tex]\begin{gathered} S(3,\text{ 5\rparen} \\ R(5,\text{ 0\rparen} \\ Q(1,\text{ 0\rparen} \end{gathered}[/tex]The triangle is as shown below:
The second triangle has points
[tex]\begin{gathered} S^{\prime}(-3,0) \\ R^{\prime}(-5,\text{ 0\rparen} \\ Q^{\prime}(-1,\text{ 0\rparen} \end{gathered}[/tex]Thus, the rule that has RO, 180° is
[tex](x,y)\to(-x,-y)[/tex]