Question

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)

Answer 1

d

Explanation:

Answer 2

The translation used is 4. (x, y) → (x - 8, y + 11).

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).