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 then translate triangle ABC left 5 units.

Translate triangle ABC down 4 units then translate triangle ABC right 5 units.

Translate triangle FGH up 4 units then translate triangle FGH left 5 units.

Translate triangle FGH down 4 units then translate triangle FGH left 5 units.

These written below are the answers to these questions....

Translate triangle ABC down 5 units then left 2 units
Translate FGH up 5 units then right 2 units.

Answer Link

isyllus isyllus · Answer 2 · 2019-03-14T23:41:02+01:00

Answer:

Option 2 and 3 are correct.

Step-by-step explanation:

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) .

ΔABC ≅ ΔFGH

For congruence , Translation of all three coordinate must be same.

[tex]A(3,8)\rightarrow F(8,4)[/tex]

Here x change 3 to 8 and y change 8 to 4

Point A shift 5 unit right and 4 unit down to get point F

[tex]B(11,8)\rightarrow G(16,4)[/tex]

Here x change 11 to 16 and y change 8 to 4

Point B shift 5 unit right and 4 unit down to get point G

[tex]C(7,12)\rightarrow H(12,8)[/tex]

Here x change 7 to 12 and y change 12 to 8

Point C shift 5 unit right and 4 unit down to get point H

In all three coordinate from ABC to FGH translation is same "5 unit right and 4 unit down"

True option: -

Translate triangle ABC down 4 units then translate triangle ABC right 5 units.
Translate triangle FGH up 4 units then translate triangle FGH left 5 units.