In rotating a triangle 180 degrees about the origin, we will take the opposite signs of the coordinates of A, B, and C. But first, let us get the coordinates of A, B, and C from the given graph.
[tex]\begin{gathered} \Delta ABC \\ A(1,3) \\ B(2,1) \\ C(1,1) \end{gathered}[/tex]
Let's make the coordinates negative.
[tex]\begin{gathered} \Delta A^{\prime}B^{\prime}C^{\prime} \\ A^{\prime}(-1,-3) \\ B\text{'(-}2,-1) \\ C^{\prime}(-1,-1) \end{gathered}[/tex]
Graphing the triangles:
