Respuesta :

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]