Broadcast is a synonym of Transmit. Transmit is a synonym of Channel. Channel is a synonym of Sound. Pink is a type of Sound. 
Shelf is part of Closet. you are likely to find Closet in/at/on School. you are likely to find Hall in/at/on School. 
Broadcast <--Synonym--> Transmit <--Synonym--> Channel <--Synonym--> Sound <--IsA-- Pink 
Shelf --PartOf--> Closet --AtLocation--> School <--AtLocation-- Hall 