Question

Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(9, 12) . Triangle FGH has vertices at F(1, 3) , G(9, 3) , and H(7, 7) . Which sequence of transformations shows that triangle ABC and triangle FGH are congruent? Select each correct answer. Translate ​ triangle ABC ​ up 5 units then translate ​ triangle ABC ​ right 2 units. Translate ​ triangle ABC ​ down 5 units then translate ​ triangle ABC ​ left 2 units. Translate ​ triangle FGH ​ up 5 units then translate ​ triangle FGH ​ right 2 units. ​ Translate ​ triangle FGH ​ down 5 units then translate ​ triangle FGH ​ left 2 units. ​

Answer 1

Hmm, (x,y)
x is horizontal or left right
y is vertical or up down


so

we see that A to F is move left 2 and down 5
B to G is left 2 and down 5
C to H is left 2 and down 5


so translatete ABC left 2 and down 5 and
translate FGH right 2 and up 5

not 1st option
2nd works
3rd works
4th is false


2nd and 3rd

Answer 2

Translate triangle ABC down 5 units then left 2 units