Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-3,2), B'(0,8), C'(2,2) are congruent.A) (x, y) → (x - 1, y + 2) B) (x, y) → (x + 2 , y + 1) C) (x, y) → (x - 2, y + 1) D) the triangles are not congruent

the answer is B
first, look at all the x coordinates:
-5+2=-3, -2+2=0, 0+2=2
then, look at all the y coordinates:
1+1=2, 7+1=8, 1+1=2

All the three points are translated in the same way, that is, right 2 units, up 1 unit. the two triangles are congruent.