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

Explanation:

Step1: Find x-translation

Original L(7,-3) → L'(-1,8). Δx = -1 -7 = -8.

Step2: Find y-translation

Δy = 8 - (-3) = 11.

Step3: Verify with M

Original M(7,-8) → M' should be (7-8, -8+11) = (-1,3). (Consistent with translation rule)

Step4: Verify with N

Original N(10,-8) → N' should be (10-8, -8+11) = (2,3). (Consistent with translation rule)

Answer:

(x,y) → (x-8, y+11)