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

Step-by-step explanation:

A(-5, 1) → A'(-6, 0)

-5 - 1 = -6

1 - 1 = 0

B(-2, 7) → B'(-3, 6)

-2 - 1 = -3

7 - 1 = 6

C(0, 1) → C'(-1, 0)

0 - 1 = -1

1 - 1 = 0

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743