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? (1 point) Responses (–6, –4) (–6, –4) (–3, 2) (–3, 2) (–3, 9) (–3, 9) (–4, 13)
To find the coordinates for S' for this translation, we need to determine the change in x and y coordinates from S to S'.
The x-coordinate of S' can be found by subtracting the change in x from R to R' (which is -4-2=-6) from the x-coordinate of S:
3 - 6 = -3
The y-coordinate of S' can be found by subtracting the change in y from R to R' (which is 8-1=7) from the y-coordinate of S:
2 - 7 = -5
Therefore, the coordinates for S' are (-3, -5).
To find the coordinates for S' after the translation, we can use the fact that a translation moves a point by the same amount in both the x-direction and the y-direction.
Given that R is mapped to R' at (-4, 8), we can find the translation values by subtracting the original coordinates of R from the coordinates of R':
Translation in x-direction: x'-x = -4 - 2 = -6
Translation in y-direction: y'-y = 8 - 1 = 7
Now, we can apply the same translation values to the original coordinates of S to find the coordinates of S':
x-coordinate of S' = x-coordinate of S + Translation in x-direction = 3 + (-6) = -3
y-coordinate of S' = y-coordinate of S + Translation in y-direction = 2 + 7 = 9
Therefore, the coordinates for S' after the translation are (-3, 9).
So, the correct answer is (-3, 9).
To find the coordinates for S' in the translation, we need to apply the same translation to the coordinates of point S.
Given that point R has been mapped to R' at (-4, 8), we need to find the new coordinates for S.
Let's first calculate the translation vector:
Translation vector = (x coordinate of R' - x coordinate of R, y coordinate of R' - y coordinate of R)
Translation vector = (-4 - 2, 8 - 1)
Translation vector = (-6, 7)
Now, let's apply the translation vector to the coordinates of S:
New coordinates for S = (x coordinate of S + x component of the translation vector, y coordinate of S + y component of the translation vector)
New coordinates for S = (3 + (-6), 2 + 7)
New coordinates for S = (-3, 9)
Therefore, the coordinates for S' in this translation are (-3, 9).