Final answer:
The lateral hemispheres of the cerebellum are responsible for controlling distal muscle contraction, reflecting its role in coordinating voluntary movements of the limbs.
Step-by-step explanation:
The region of the cerebellum used for distal muscle contraction is the lateral hemispheres. This area is primarily concerned with planning motor functions and controls the movements of the appendicular musculature, which includes the limbs. When examining cerebellar function, a subtest may involve a patient extending their arms to check for tremors and the rebound response. These movements and responses are indicative of the cerebellum's role in processing proprioceptive feedback and adjusting motor commands. The region is part of the cerebrocerebellum, reflecting significant input from the cerebral cortex through the cortico-ponto-cerebellar pathway, thus highlighting its role in coordinating voluntary movements like arm extension.