CORRECT ME PLS!

Question

If a translation maps ∠I onto ∠K, which of the following statements is true?

  =  

ΔGHI ~ ΔGJK

  =  

∠G ≅ ∠K WOULD IT BE option 1if not correcr me and give answer

Answer 1

You need to look at the figure.

1. HI is clearly not twice as long as JK
2. GH is clearly not twice as long as GJ.

That leaves ΔGHI ~ ΔGJK. Why? Because ∠I ≅ ∠K, ∠G ≅ ∠G (angle G is both triangles), so ∠H ≅ ∠J, and we have AAA similarity.