Right triangle LMN has vertices L(7,−3), M(7,−8), and N(10,−8). The triangle is translated on the coordinate plane so the coordinates of L′ are (−1, 8). Which rule was used to translate the image?
Answer
A
open paren x comma y close paren rightarrow open paren x plus 6 comma y minus 5 close paren
B
open paren x comma y close paren rightarrow open paren x minus 8 comma y plus 11 close paren
C
open paren x comma y close paren rightarrow open paren x minus 6 comma y plus 5 close paren
D
open paren x comma y close paren rightarrow open paren x plus 8 comma y minus 11 close paren
Explanation
Compare L(7, −3) with its image L′(−1, 8). The x-coordinate changes by −1 − 7 = −8, and the y-coordinate changes by 8 − (−3) = 11. So the translation rule is (x, y) → (x − 8, y + 11), which is choice B.
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