Answer:
In modern fashion, a corset is a garment designed to reduce the waistline, and is usually made from a very sturdy fabric and stiffened with steel bones. A bodice is a generic term for any form-fitting garment which covers the torso, or the top part of a dress. Bodices do not transform the shape of the body, whereas this is the defining feature of a corset.
Historically, the term "bodice" comes from the word "bodies" as in "a pair of bodies" which was the name given to the early boned undergarments worn from the 16th to the 18th centuries. By the 19th century it had evolved into what we now know as the corset, although they were more commonly referred to as "stays" in England during this period.