In the exploration below, segments A'B' and B'C' are fixed to match the lengths of their corresponding objects, and the angle at point C' is fixed to be congruent to angle BCA.[br][br]1. Adjust the vertices of triangle A'B'C' to make a triangle. [br][br]2. Manipulate all the vertices of triangle ABC, to see the relationship between both triangles. [br][br]Can you find a way to make the two triangles look different from each other? [br][br]Will they always be congruent once you create a triangle?