Explain how the term congruence relates to GeoTetris.
For each level, do you think that there exist multiple sequences of rigid motions that map the preimage onto the image? Why or why not?
Do you think the order in which the sequence of rigid motions is performed matters? Why or why not?
GeoTetris allows the player to either rotate or translate a puzzle piece. Which transformation can be introduced into the game to remove one piece of each pair shown below? Explain why.