Pursuit is a type of Motion. Motion is related to Leave. Leave is the opposite of Carry. Carry is a synonym of Move. 
Offer is a type of Threaten. Threaten is derived from Threat. 
Pursuit --IsA--> Motion <--RelatedTo--> Leave <--Antonym--> Carry <--Synonym--> Move 
Offer --IsA--> Threaten --DerivedFrom--> Threat 