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?

Question

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1 point
(–6, –4)
(–3, 2)
(–3, 9)
(–4, 13)

Answer 1

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).