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)→(x - 8, y + 11) (x, y)→(x - 6, y + 5) (x, y)→(x + 6, y - 5) (x, y)→(x + 8, y - 11)

Explanation:

Step1: Find horizontal shift (h)

$7 + h = -1 \implies h = -1 - 7 = -8$

Step2: Find vertical shift (k)

$-3 + k = 8 \implies k = 8 - (-3) = 11$

Step3: Determine translation rule

$(x, y) \to (x + h, y + k) = (x - 8, y + 11)$

Answer:

$(x, y) \to (x - 8, y + 11)$