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 the change in x - coordinate

The x - coordinate of L is 7 and the x - coordinate of L' is - 1. The change in x is $\Delta x=-1 - 7=-8$.

Step2: Find the change in y - coordinate

The y - coordinate of L is - 3 and the y - coordinate of L' is 8. The change in y is $\Delta y=8-( - 3)=8 + 3 = 11$.
The translation rule is $(x,y)\to(x - 8,y + 11)$.

Answer:

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