Convert is a synonym of Convince. Convince is a synonym of Assure. Assure is a synonym of Cheer. 
Determine is a type of Specify. Specify is a synonym of Specialize. 
Convert <--Synonym--> Convince <--Synonym--> Assure <--Synonym--> Cheer 
Determine --IsA--> Specify <--Synonym--> Specialize 