Since any map projection is a representation of one of those surfaces on a plane, all map projections distort. Every distinct map projection distorts in a distinct way. The study of map projections is the characterization of these distortions.
If you have the car as collateral, the loan company will take the car. The co-signer is not automatically put on the title, that would be between you and the co-signer. My father co-signed a loan when I was younger, and my name was on the title, not his.
A co-signer guarantees repayment of a borrower's loan, so couples who ask someone else to co-sign on a car loan or mortgage are actually asking that person to commit to paying off their loan if they don't. A lender will require the co-signer to sign a contract guaranteeing repayment of the loan.