i need help with this question Rotation:(x,y) ↦ (_,_)Translation:(x,y) ↦(_,_)

Given:
There are given that the trapezoid T'U'V'W' is the image of the trapezoid TUVW.
Explanation:
To find the rule of rotation, we need to use see the image.
So,
The rotation rule is:
[tex](x,y)\rightarrow(-y,x)[/tex]And,
The translation rule is:
[tex](x,y)\rightarrow(x+a,y+b)[/tex]Final answer:
Hence, the rule of translation and rotation are shown below:
[tex]\begin{gathered} Rotation:(x,y)\operatorname{\rightarrow}(-y,x) \\ Translation:(x,y)\rightarrow(x+a,\text{ y+b\rparen} \end{gathered}[/tex]