Dancing can be used for Exercise. you would Hike because Exercise. the first thing you do when you Hike is Stretch. 
Write is a synonym of Display. Display is a synonym of Demonstrate. Demonstrate is related to Protest. 
Dancing --UsedFor--> Exercise <--MotivatedByGoal-- Hike --HasFirstSubevent--> Stretch 
Write <--Synonym--> Display <--Synonym--> Demonstrate <--RelatedTo--> Protest 