When first introducing how the corresponding parts in triangles are congruent, I like to relate this to apartments and houses. Most houses in neighborhoods are 1 of 4 different models for the entire neighborhood; the same goes for apartments–they are all under the same floor plan and lay-out. So that if there’s ever damage or a fire to a portion of the house, they can easily repair the house by applying concepts of congruence of the original model houses.