Final answer:
Agriculture and irrigation systems were the inventions that led nomadic tribes in the Fertile Crescent to settle between the Tigris and Euphrates Rivers, marking a shift to agrarian societies and the rise of civilization.
Step-by-step explanation:
The inventions that prompted nomadic tribes in the Fertile Crescent to stop moving and settle between the Tigris and Euphrates Rivers were agriculture and irrigation systems. With the development of these systems, stable food sources became possible, leading to more sedentary lifestyles. Communities could then focus on building di_kes, canals, and levees to manage the unpredictable flooding of the rivers, which further supported agricultural stability and growth. This transition to agrarian societies was an integral part of the Neolithic Revolution, marking a significant shift from hunting and gathering to farming and animal domestication. The management of water and agriculture facilitated the rise of the first civilizations, such as Sumer in Mesopotamia, and necessitated forms of governance to oversee these complex tasks.