Board is a synonym of Cabinet. Cabinet is related to Bathroom. you are likely to find Bathroom in/at/on Apartment. 
Ally is related to Lie. Lie is the opposite of Fact. Fact is the opposite of Voice. Voice is related to Movement. 
Board <--Synonym--> Cabinet <--RelatedTo--> Bathroom --AtLocation--> Apartment 
Ally <--RelatedTo--> Lie <--Antonym--> Fact <--Antonym--> Voice <--RelatedTo--> Movement 