Using translation concepts, it is found that:
- B' is: (-8, -2).
- C' is: (-2, 9).
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- In the original triangle, we have A(5,7).
- After the translation, the coordinates are: A'(2,9).
- That is, 3 was subtracted from the x-coordinate, while 2 was added to the y-coordinate.
- Thus, the translation rule is: [tex](x,y) \rightarrow (x - 3, y + 2)[/tex].
- Applying the same for vertices B and C:
[tex](-5,-4) \rightarrow (-5 - 3, -4 + 2) = (-8, -2)[/tex]
[tex](1,7) \rightarrow (1 - 3, 7 + 2) = (-2, 9)[/tex]
Thus:
B' is: (-8, -2).
C' is: (-2, 9).
A similar problem is given at https://brainly.com/question/24716755
