A convertible is an automobile built with a folding, retracting, or removable roof. The collapsible roof section is typically made from flexible canvas or vinyl, although plastic, aluminium and steel have occasionally been used in elaborate folding designs.
Unlike a roadster, which may also have a folding top, a convertible has roll-up glass windows in the sides, and so the entire vehicle is "convertible" to an enclosed coupé.
In Europe this body style is frequently called cabriolet or cabrio.
Source: CDX Global & Wikipedia - en.wikipedia.org