Final answer:
To show congruence by translation, we need to show that corresponding sides and angles of the triangles are equal.
Step-by-step explanation:
To show that triangle ABC is congruent to triangle A' B' C' by translation, we need to show that they have the same shape and size.
Translation is a transformation that moves every point of a figure the same distance in the same direction. Therefore, to show congruence by translation, we need to show that the corresponding sides and angles of the two triangles are equal.
For example, if we have AB || A'B' and AB = A'B', BC || B'C' and BC = B'C', and AC || A'C' and AC = A'C', then we can conclude that triangle ABC is congruent to triangle A' B' C' by translation.