Triangle RSV 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?
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1 point
(–6, –4)
(–3, 2)
(–3, 9)
(–4, 13)
To find the coordinates for S' after the translation, we need to apply the same translation vector that was used to map R to R'.
The translation vector is obtained by subtracting the coordinates of R' from the coordinates of R:
(R'x, R'y) - (Rx, Ry) = (-4, 8) - (2, 1) = (-6, 7)
To get the coordinates for S', we add this translation vector to the coordinates of S:
(Sx, Sy) + (-6, 7) = (3, 2) + (-6, 7) = (3-6, 2+7) = (-3, 9)
Therefore, the coordinates for S' after the translation are (-3, 9). The correct answer is (–3, 9).