Iwill give brainliest to whoever is correct

Choice D  They are not congruent   Points A and C are translated  down 5 but point B is translated down 9

ABC to A'B'C', values of x are the same, only values of y are changed.

A(-1 , 1) to A'(-1 , -4)

- 1 + 0 = -1 (x stays the same)

  1 - 5 = -4 ( y: 5 units down)

Rule: (x,y) -->(x, y - 5)

B(-2, 3) to B'(-2 , -6)

- 2 + 0 = -2 (x stays the same)

  3 - 9 = -6 ( y: 9 units down)

  Rule: (x,y) -->(x, y - 9)

C(-5, 1) to C'(-5 , -4)

- 5 + 0 = -5 (x stays the same)

   1 - 5 = -4 ( y: 5 units down)

Rule: (x,y) -->(x, y - 9)

Answer is the last option

The two triangles are not congruent because there is no sequence of rigid motions that maps ABC to A'B'C' (point B moved down 9 units but A and C moved down 5 units)

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent