The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.
Subtract 6 from each x and y to get corresponding points of the translated figure.
U' will be (-11,-5)
I think you guys are right but I don't know
To find the translation rule and coordinates of U' after the translation, we need to identify the vector that represents the translation from R to R'.
The translation rule can be determined by subtracting the coordinates of R' from the coordinates of R:
Translation rule: (x', y') = (x - 6, y - 6)
Now, let's apply this translation rule to the coordinates of U to find U'.
(x', y') = (x - 6, y - 6)
U' = (x - 6, y - 6)
Substituting the coordinates of U (-5, 1) into the translation rule:
U' = (-5 - 6, 1 - 6)
U' = (-11, -5)
Therefore, the coordinates of U' after the translation are (-11, -5).
To find the translation rule and coordinates of U', we need to understand how the translation affects the points and their coordinates.
A translation is a transformation that moves each point of a shape the same distance in the same direction. So, to find the translation rule, we can calculate the difference between the coordinates of R and R'.
Let's find the translation rule using R and R':
Translation rule: Move each point of the rectangle 6 units to the left and 6 units down.
Now, let's use the translation rule to find the coordinates of U':
The original coordinates of U are (-5, 1).
To translate U using the translation rule, we move it 6 units to the left and 6 units down:
-5 - 6 = -11
1 - 6 = -5
So, the coordinates of U' are (-11, -5).