The sentence "notre professeur a __ les papiers" means our professor is doing something with papers (most likely tests or homework that needs grading). As such corrigé, which means "to correct", is the best choice.
Partagé means "to share", Nettoyé means "to clean", and Effacé means "to erase", none of which being logical choices.
<span>Un gros chien est plus grand qu’un lézard. * Une girafe est plus grande qu’une voiture. * Un écureuil est plus rapide qu’une tortue. * Une araignée est plus laide qu’un papillon. * Un chat est plus beau qu’un gros serpent.</span>