Question

the triangle with vertices A (2, 4), B (3,-1), and C (6, 12) is translated along the vector (-1, 5), then the image is translated again along (4, -4). name the vector that would return the triangle to its original location.

Answer 1

To return the triangle to its original location, we need to perform the opposite translation of the two given translations. The opposite translation of (-1, 5) is (1, -5) and the opposite translation of (4, -4) is (-4, 4).

So, to find the vector that would return the triangle to its original location, we need to add these opposite translations:

(1, -5) + (-4, 4) = (-3, -1)

Therefore, the vector that would return the triangle to its original location is (-3, -1).