Final answer:
The system that uses geothermal energy for cooling and heating in a building is called a geothermal heat pump or ground source heat pump.
Step-by-step explanation:
The system installed in the building that uses geothermal energy for cooling in summer and heating in winter is known as a geothermal heat pump or a ground source heat pump. It utilizes the constant subsurface temperatures to act as a heat source in cold weather and a heat sink in hot weather, making it a very efficient and environmentally friendly system for temperature regulation. Because the temperature below ground remains fairly constant year-round, the building can reduce its dependence on traditional heating and cooling systems, leading to lower energy consumption and reduced environmental impact.