Answer:
B. (x, y) (x - 6, y - 6); (-11,-5)
Step-by-step explanation:
Given the vertices of a rectangle are R(-5, -5), S(-1,-5), 7(-1, 1), and U(-5, 1). After translation, the coordinate R' is at the point (-11, -11), in order to know the translation factors used;
Let (x, y) be the translation coordinate added to the original coordinate R to get R'. To get the coordinate (x, y)
(x, y)+(-5, -5) =(-11, -11)
x - 5 = -11
x = -11+5
x = -6
Similarly;
y-5 = -11
y = -11+5
y = -6
Hence the coordinates added to initial vertices is (-6, -6)
To get the new coordinate U' after translation, we will add the coordinate (-6, -6) to the U(-5, 1) as shown;
(x, y) + (-5, 1) = (-6, -6)+(-5, 1)
= (-6-5, -6+1)
= (-11, -5)
Hence the coordinates of U' is (-11, -5) and the translation rule is (- 6+ x, -6+y) where (x, y) is (-6, -6).
<em>Based on the above calculation, it can be seen that (x, y) (x - 6, y - 6); (-11,-5) is correct.</em>
