Triangle abc has vertices at a(3, 8) , b(11, 8) , and c(7, 12) . triangle fgh has vertices at f(8, 4) , g(16, 4) , and h(12, 8) . which sequence of transformations shows that triangle abc and triangle fgh are congruent? select each correct answer. translate triangle abc down 4 units, and then translate triangle abc right 5 units. translate triangle fgh down 4 units, and then translate triangle fgh left 5 units. translate triangle fgh up 4 units, and then translate triangle fgh left 5 units. translate triangle abc down 4 units, and then translate triangle abc left 5 units.

Vertices of ΔABC 
A - (3, 8)
B - (11, 8)
C - (7, 12)
vertices  of ΔFGH
F - (8, 4)
G - (16, 4)
H - (12, 8) 
after a translation the size nor shape of the triangle changes, every point of the triangle moves the same distance in the same direction. 
if we take point A and F
x coordinates of A = 3 and F = 8
the change that has happened can be noted as 'm'
3 + m = 8
m = 5
this means that the point has moved 5 units to the right
y coordinates of A = 8 and F = 4
change that happened is 'n'
8 + n = 4
n = -4
this means that point has moved 4 units downwards

Therefore the correct answer is Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units