What are the words for the different parts of a ticket?

Admission tickets such as those for the cinema are often composed of a part which will remain to the customer, and a part which will remain to the attendant.

• What are the two parts called?
• What is the action of separating the two parts called?
• What is the word for the dotted line, usually with small holes in it to facilitate the process?

Solution 1:

As to the first, the part the customer retains is called a stub (the returned portion of a ticket), and the other part is sometimes known as the counterfoil (though the term can be applied to other things similar to tickets, such as a money order). The second could be tearing or detaching (there isn't a specific term just for tickets, that I know of), and the third is a perforation.

Edit: since the term counterfoil has been found, I decided to go ahead and put it in my answer to make it complete — but the credit goes to user11761.

Solution 2:

Counterfoil is the part of the ticket that is retained by the issuing authority.

Solution 3:

Once detached from one another, the detached parts are stubs. Generally, the word is used in the context of the half the customer retains: "When you go to the restroom, remember to bring your ticket stub with you, or you may not be allowed back in." If there's a special word for the half the box office retains, I've never heard it.

Edit, because quotations from the OED make everything better: The Oxford English Dictionary finds ticket stub in use by Ellery Queen in The Roman Hat Mystery (1929): "You'll be looking for ticket-stubs. Anything resembling half a ticket." The earliest definition given for stub, from the year 967, is as a synonym for "stump" (of a tree); many or most of the definitions that have evolved since then retain the sense of a small thing that has been severed from a larger thing—like a ticket stub.

Edit 2: Here's a reference from 1887, in a joke that does not seem to have aged very well since then:

"BATH-HOUSE ROBBER: No use lookin' fer anythin' here, Bill. Ticket stub ter one of Joe Cook's lectures, an' a poker chip. Busted drummer from Boston!"

I guess you had to be there.