WordNet sense 1 (affected manners intended to impress others):

airs

WordNet sense 2 (introduce):

present

WordNet sense 3 (behave affectedly or unnaturally in order to impress others):

posture

WordNet sense 4 (assume a posture as for artistic purposes):

model, sit

WordNet sense 5 (put into a certain place or abstract location):

lay, place, position, put, set

WordNet sense 6 (pretend to be someone you are not; sometimes with fraudulent intentions):

impersonate, personate

WordNet sense 7 (a deliberate pretense or exaggerated display):

affectation, mannerism, affectedness

WordNet sense 8 (be a mystery or bewildering to):

amaze, baffle, beat, bewilder, dumbfound, flummox, get, gravel, mystify, nonplus, perplex, puzzle, stick, stupefy, vex