The term 'bridge piece' can be broken down into three crossword solutions: ARCH (4 letters), REY (3 letters), and IBAR (4 letters). An ARCH is a curved structure that spans an opening, often used in architecture and engineering. A rey is a Spanish title of nobility, similar to a king or queen. An ibar is a type of bridge found in Japan, made of wood and stone. Together, these three pieces form the components of a bridge.