Final answer:
Lake Constance, also known as Bodensee, is the lake that lies on the border between Germany and Switzerland and is traversed by the Rhine River.
Step-by-step explanation:
The lake that lies on the border between Germany and Switzerland through which the Rhine River flows is called Lake Constance (also known as Bodensee in German).
It is a significant body of water, acting not only as a natural border but also providing a vital route for transportation and trade. The Rhine, navigating its way through the heart of Europe, plays a key role in connecting industrial areas from southern Germany to Europe's busiest port in Rotterdam, Netherlands.