Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-6,0), B'(-3,6), C'(-1,0) are congruent. A) (x, y) → (x - 1, y - 1) B) (x, y) → (x + 2 , y + 1) C) (x, y) → (x - 2, y + 1) D) the triangles are not congruent

We can compare coordinates of points and their images ,and
we need to find the rule
(x, y) ------> (x', y')
A(-5,1)----->A'(-6,0)
-5+a=-6,     a=-1,  x--->x' , x-1=x'
1+b=0, b=-1,     y----->y', y-1=y'
B(-2,7) --------> A'(-3,6)
-2+a= -3,    a=-1 ,   x--->x' , x-1=x'
7+b=6,   b=-1,       y----->y', y-1=y'
C(0,1) ----->C'(-1,0)
0+a= -1,    a=-1 x--->x' , x-1=x'
 1+b=0, b=-1 ,  y----->y', y-1=y'
Now we can see that  (x, y)------> (x-1,y-1)  Answer A