Consider this class hierarchy:
Book extends Goods
Book implements Taxable
As we know, there is a relationship
Yes. The relationship is exactly the same
Book is a Taxable too.
EDIT
An interface is an artifact that happens to match Java's ( and probably C# I don't know ) interface
keyword.
In OO interface is the set of operations that a class is 'committed' perform and nothing more. Is like a contract between the object class and its clients.
OO programming languages whose don't have interface
keyword, still have class interface OO concept.