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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.

Respuesta :

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

This the answer hope it helps!!

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