triangle abc is translated to image abc. in this translation, a(5, 1) maps to a(6, -2). the coordinates of b…

Explanation:

Step1: Find the translation rule

The x - coordinate of A changes from 5 to 6, so the change in x is (6 - 5=1). The y - coordinate of A changes from 1 to - 2, so the change in y is (-2 - 1=-3). The translation rule is ((x,y)\to(x + 1,y-3)).

Step2: Reverse the translation for B'

Let the coordinates of B be ((x,y)). We know that for the translation ((x,y)\to(x + 1,y - 3)) gives B'(-1,0). To find x, we set (x+1=-1), then (x=-1 - 1=-2). To find y, we set (y-3 = 0), then (y=3).

Answer:

((-2,3))