pose

a deliberate pretense or exaggerated display

affected manners intended to impress others

don't put on airs with me

a posture assumed by models for photographic or artistic purposes

be a mystery or bewildering to

This beats me!

Got me--I don't know the answer!

pretend to be someone you are not; sometimes with fraudulent intentions

She posed as the Czar's daughter

put into a certain place or abstract location

Put your things here

Set the tray down

assume a posture as for artistic purposes

We don't know the woman who posed for Leonardo so often

behave affectedly or unnaturally in order to impress others

Don't pay any attention to him--he is always posing to impress his peers!

She postured and made a total fool of herself

introduce

This poses an interesting question