Respuesta :

If the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of [tex]A^{I}[/tex] be (-3,6) coordinates of [tex]B^{I}[/tex] be (-3,1) and coordinates of [tex]C^{I}[/tex] be (-6,-1) then the correct translation be

(x-5,y+3).

Given a figure in which the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of [tex]A^{I}[/tex] be (-3,6) coordinates of [tex]B^{I}[/tex] be (-3,1) and coordinates of [tex]C^{I}[/tex] be (-6,-1).

We are required to find the correct translation of figure from ABC to [tex]A^{I} B^{I} C^{I}[/tex].

Translation is basically the displacement of a figure or a shape from one place to another.

To reach the coordinates of A to [tex]A^{I}[/tex], we need to subtract 5 from 2  and add 3 to 3.

To reach the coordinates of B to [tex]B^{I}[/tex], we need to subtract 5 from 2  and add 3 to -2.

To reach the coordinates of C to [tex]C^{I}[/tex], we need to subtract 5 from -1  and add 3 to -4.

Hence if the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of [tex]A^{I}[/tex] be (-3,6) coordinates of [tex]B^{I}[/tex] be (-3,1) and coordinates of [tex]C^{I}[/tex] be (-6,-1) then the correct translation be

(x-5,y+3).

Learn more about translation at https://brainly.com/question/12861087

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