Possible is the opposite of Impossible. Impossible is related to Show. you are likely to find Actor in/at/on Show. 
Teammate is a synonym of Mate. Mate is a synonym of Couple. Couple can Dance. Dance is related to Exercise. 
Possible <--Antonym--> Impossible <--RelatedTo--> Show <--AtLocation-- Actor 
Teammate <--Synonym--> Mate <--Synonym--> Couple --CapableOf--> Dance <--RelatedTo--> Exercise 