Translations & Congruence

Triangle ABC and its image Triangle A'B'C' are graphed above. Play around with the pre-image by moving its vertices to new locations. Notice the angle measurements of the pre-image and image. Play around with the vector by changing its direction and magnitude. What do you notice about the triangles as you move the vertices and change the translation? What do you wonder? Make a conjecture about translations and congruent shapes.

Is the statement sometimes, always, or never true? The pre-image and image of translations are congruent.