hello can you see if what I got is right

The rule of reflection over the line y = x is:
[tex](x,y)\rightarrow(y,x)[/tex]The coordinates of A' = (1,-2) , B' = ( 3 , -4 )
So, the coordinates of A'' and B'' will be :
[tex]\begin{gathered} A^{\doubleprime}=(-2,1) \\ B^{\doubleprime}=(-4,3) \end{gathered}[/tex]We need to find the rule of transformation from A to A''
The coordinates of A = (1,2) and B = ( 3 , 4 )
So,
[tex]\begin{gathered} (1,2)\rightarrow(-2,1) \\ (x,y)\rightarrow(-y,x) \end{gathered}[/tex]The last rule is the rule of rotation 90 counter - clockwise
Or the rule of the rotation 270 clockwise