Question

Answer C is (-y,x) can I have help with D

Answer 1

A reflection over the line y=x is given by:

`(x,y)\rightarrow(y,x)`

Applying this to quadrilateral A'B'C'D' we have:

`\begin{gathered} A^(\prime)(-1,1)\rightarrow A^(\doubleprime)(1,-1) \\ B^(\prime)(-1,2)\rightarrow B^(\doubleprime)(2,-1) \\ C^(\prime)(-2,3)\rightarrow C^(\doubleprime)(3,-2) \\ D^(\prime)(-2,1)\rightarrow D^(\doubleprime)(1,-2) \end{gathered}`

And the graph of the new quadrilateral A''B''C''D'':