Respuesta :

We get the translation rule as (x-4, y+5) for triangle ABC.

We are given a triangle:

ABC where

A = (3, -1)

B = (7, -5)

C = (-2, -2)

And, we are also given the translation of the triangle as A'B'C'

where

A' = (-1, 4)

B' = (3, 0)

C' = (-6, 3)

We need to tell the translation rule for it,

For the x coordinate, we can see that:

- 1 - 3 = - 4

3 - 7 = - 4

- 6 - (-2) = -4

So, the rule for x coordinate will be:

x - 4

Now for y coordinate:

4 - (-1) = 5

0 - (-5) = 5

3 - (-2) = 5

So, the rule for y coordinate will be:

y + 5

Translation rule then becomes:

(x-4, y+5)

Therefore, we get the translation rule as (x-4, y+5) for triangle ABC.

Learn more about translation rule here:

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