I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT
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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)