triangleRSV has coordinates R(2, 1), S(3, 2), and V(2, 6). A translation maps points R to R' at (–4, 8). What are the coordinates for S' for this translation?

(1 point)
Responses

(–6, –4)
(–6, –4)

(–3, 2)
(–3, 2)

(–3, 9)
(–3, 9)

(–4, 13)
(–4, 13)

1 answer

To find the coordinates for S' after the translation, you need to apply the same translation vector that maps R to R'.

In this case, the translation vector is (-4 - 2, 8 - 1) = (-6, 7).

To get the coordinates for S', you apply this translation vector to the coordinates of S:
(3, 2) + (-6, 7) = (-3, 9).

Therefore, the coordinates for S' are (-3, 9).

The correct answer is (–3, 9).