As shown in the graph, δghi ≅ δg'h'i', since this is a vertical shift, and δg'h'i' ≅ δg''h''i'', since this is a horizontal shift.
we can also show that triangles ghi and g''h''i'' are congruent directly, by using the translation
a) (x, y) → (x + 3, y - 4).
b) (x, y) → (x - 3, y + 1).
c) (x, y) → (x + 2, y + 2).
d) (x, y) → (x + 4, y - 5).