Triangle abc has vertices at a(4, 7) , b(13, 7) , and c(9, 11) .

triangle fgh has vertices at f(1, 1) , g(10, 1) , and h(6, 5) .

which sequence of transformations shows that triangle abc and triangle fgh are congruent?

select each correct answer.

translate triangle fgh up 6 units then translate triangle fgh right 3 units.

translate triangle abc up 6 units then translate triangle abc right 3 units.

translate triangle fgh down 6 units then translate triangle fgh left 3 units.

translate triangle abc down 6 units then translate triangle abc left 3 units.

Option D is right

Step-by-step explanation:

Given that

Triangle ABC has vertices at A(4, 7) , B(13, 7) , and C(9, 11) .

Triangle FGH has vertices at F(1, 1) , G(10, 1) , and H(6, 5) .

FGH is obtained by a set of transformations of ABC

Compare the coordinates of ABC with FGH in the same order

We find a pattern.

X coordinates of vertices of ABC reduced by 3 and y coordinates reduced by 6.

This implies there is a vertical shift down by 6 units and horizontal shift 3 to left for ABC to get FGH

Translate triangle ABC down 6 units then translate triangle ABC left 3 units.

is the correct answer.

b