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?
Can't understand this one please help me.
The coordinates are c (-3, 9).
To find the coordinates of S' after the translation, we need to apply the same transformation to point S as we did to point R.
The translation moves point R to R' at (-4,8). This means that the x-coordinate of R' is equal to the x-coordinate of R minus 4, and the y-coordinate of R' is equal to the y-coordinate of R plus 8.
Thus, for point S', we need to subtract 4 from the x-coordinate of S and add 8 to the y-coordinate of S.
Given that S has coordinates S(3,2), the coordinates of S' after the translation would be:
x-coordinate of S' = x-coordinate of S - 4 = 3 - 4 = -1
y-coordinate of S' = y-coordinate of S + 8 = 2 + 8 = 10
Therefore, the coordinates of S' after the translation would be (-1, 10).
Sure, I can help you with that!
To find the coordinates for S' after the translation, we need to understand how translations work.
A translation is a transformation that moves each point in a figure the same distance in the same direction. In this case, we are given that the point R is mapped to R' at (-4,8).
To find the coordinates for S', we need to determine the distance and direction between the original points R and S.
The distance between R and S can be found using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between R and S:
d = sqrt((3 - 2)^2 + (2 - 1)^2) = sqrt(1 + 1) = sqrt(2)
Now that we know the distance between R and S is sqrt(2), we can use this to determine the translation for S'.
Since R is mapped to R' at (-4,8) and the distance between R and S is sqrt(2), we can find the coordinates for S' as follows:
1. Subtract the x-coordinate of R from the x-coordinate of R':
x-coordinate of S' = x-coordinate of R' - x-coordinate of R
= -4 - 2
= -6
2. Subtract the y-coordinate of R from the y-coordinate of R':
y-coordinate of S' = y-coordinate of R' - y-coordinate of R
= 8 - 1
= 7
Therefore, the coordinates for S' after the translation are (-6, 7).
I hope this helps! Let me know if you have any further questions.
Feel like i should post this somewhere
[ANSWERS]
1. B: (x,y)→(x+5, y+3)
2. D: (x,y)→(x-3, y+7)
3. A: The Preimage and Image are congruent
4. C: (-3, 9)
Well, it sounds like the points R, S, and V are being translated to new points R', S', and V' using a specific translation vector. If we know the translation for point R is (-4,8), we can apply the same translation to find the new coordinates for point S.
To find S', we will add the x-coordinate and the y-coordinate of the translation vector to the x-coordinate and y-coordinate of point S, respectively.
Let's do the math:
Translation vector for R: (-4,8)
Coordinates of S: (3,2)
To find S', we add the x-coordinate and the y-coordinate of the translation vector to the x-coordinate and y-coordinate of point S, respectively:
S' = (3 + -4, 2 + 8)
= (-1, 10)
So the coordinates for S' after the translation are (-1,10). I hope that clears things up for you!
R -> R' shifted (2,1) by (-6,7) to (-4,8)
Just apply the translation (-6,7) to the other points:
(3,2) + (-6,7) = (-3,9)
(2,6) + (-6,7) = (-4,13)