The special district that constructs and maintains levees and dams is the Flood Control District. This district is specifically designed to manage and prevent flooding by constructing, maintaining, and overseeing the upkeep of levees and dams. Here's why the other options are not correct:
1. Deluge Prevention District: While this sounds like it could be related to preventing flooding, it is not a commonly used term for such districts.
2. Rural Water District: This type of district focuses on providing water services to rural areas, such as managing water supply systems, rather than specifically dealing with levees and dams.
3. Dam Construction District: This option is too narrow in focus as these districts usually have a broader scope beyond just building dams; they typically involve a wider range of water management activities.
In summary, the Flood Control District is the most suitable option among the choices provided for the special district responsible for constructing and maintaining levees and dams.