Right triangle LMN has vertices cap l times open paren 7 comma negative 3 close paren , cap m times open paren 7 comma negative 8 close paren , and cap n times open paren 10 comma negative 8 close paren The triangle is translated on the coordinate plane so the coordinates of cap l prime are open paren negative 1 comma 8 close paren Which rule was used to translate the image?
Answer
A
open paren x comma y close paren rightarrow open paren x plus 8 comma y minus 11 close paren
B
open paren x comma y close paren rightarrow open paren x minus 6 comma y plus 5 close paren
C
open paren x comma y close paren rightarrow open paren x plus 6 comma y minus 5 close paren
D
open paren x comma y close paren rightarrow open paren x minus 8 comma y plus 11 close paren
Explanation
Point L moves from (7, −3) to L′ = (−1, 8). The change in x is −1 − 7 = −8, and the change in y is 8 − (−3) = 11. So every point is translated by (x, y) → (x − 8, y + 11), which is choice A.
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