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).

which rule was used to translate the image?

(x, y) \
ightarrow (x + 6, y - 5)
(x, y) \
ightarrow (x - 6, y + 5)
(x, y) \
ightarrow (x + 8, y - 11)
(x, y) \
ightarrow (x - 8, y + 11)

Explanation:

Identify coordinates of original point and image point

$$
LATEXBLOCK0
$$

Calculate horizontal and vertical shifts

$$
LATEXBLOCK1
$$

Formulate translation rule

$$ (x, y) ightarrow (x - 8, y + 11) $$

Answer:

• (A) \((x, y)

ightarrow (x + 6, y - 5)\)

• (B) \((x, y)

ightarrow (x - 6, y + 5)\)

• (C) \((x, y)

ightarrow (x + 8, y - 11)\)

• **(D) \((x, y)

ightarrow (x - 8, y + 11)\) (Correct answer)**