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).