Answer:
First option: ∠I = ∠K
Explanation:
The translation dilates ΔGHI about point G using a positive scale factor to generate ΔGJK.
We can use process of elimination(POE) to get rid of obviously wrong choices
∠I = ∠K is a correct choice since dilation preserves the original shape so the angles two triangles are equal and therefore the first choice appears to be the correct answer
Let's look at the other choices to make sure:
GH is smaller than GJ so GH = 2GJ is obviously false
∠G cannot be equal to ∠K unless it is an isoscles triangle and such information is not provided
HI is less than JK so the last option is also not true
Correct answer:
First option: ∠I = ∠K