Answer:
The translation used is 4. (x, y) → (x - 8, y + 11).
Step-by-step explanation:
We are given a right triangle LMN with vertices L(7,-3), M(7,-8) and N(10,-8).
This triangle is translated so that the one vertex of new triangle is given by L'(-1,8).
So, we see that according to the options:
1. (x, y) → (x + 6, y – 5)
L= (7,-3) becomes L' = (7+6,-3-5) = (13,-8), which is not possible.
2. (x, y) → (x - 6, y + 5)
L= (7,-3) becomes L' = (7-6,-3+5) = (1,2), which is not possible.
3. (x, y) → (x + 8, y – 11)
L= (7,-3) becomes L' = (7+8,-3-11) = (15,-14), which is not possible.
4. (x, y) → (x - 8, y + 11)
L= (7,-3) becomes L' = (7-8,-3+11) = (-1,8), which is true.
Thus, the translation used is (x, y) → (x - 8, y + 11).
