Geometry math question please help

Look at the picture.
Answer: C. (0, 7)
Other method.
[tex] \overrightarrow{PA}=\overrightarrow{CP}\\\\\overrightarrow{PA}=[4-2,\ 3-5]=[2,\ -2]\\\\\overrightarrow{CP}=[2-x,\ 5-y]=[2,\ -2]\Rightarrow2-x=2\ \vee\ 5-y=-2\\\\x=0\ \vee\ y=7\Rightarrow C(0,\ 7) [/tex]