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)

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.