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). (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)

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).

d

Step-by-step explanation:

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