ANSWER:
Triangle HJI is a translation and reflection of Triangle EFG. Since triangle EFG uses only rigid transformations to map onto triangle HJI, the triangles are congruent
Explanation:
The size of the sides is the same in both triangles, which means that there is no dilation.
The triangle moved to the right and was rotated, which means that there is a translation and a reflection, therefore, they only used rigid transformations, therefore, the angles are congruent.