Given
[tex]\begin{gathered} A=(-4,0)\rightarrow A^{\prime}=(0,-4) \\ B=(-3,-1)\rightarrow B^{\prime}=(-1,-3) \\ C=(-5,-4)\rightarrow C^{\prime}=(-4,-5) \end{gathered}[/tex]
Notice that in order to transform the preimage points into their corresponding image, we need to switch the two coordinates, as stated in the transformation below
[tex](x,y)\rightarrow(y,x)[/tex]
This transformation corresponds to a reflection over the line y=x. The answer is a reflection over y=x.
