Final answer:
Damage to the extrapyramidal system can cause dyskinesias and tremors, which is true. This system's role in coordinating movement makes it susceptible to disorders like Parkinson's disease that manifest these symptoms.
Step-by-step explanation:
Damage to the extrapyramidal system can indeed result in a variety of movement disorders, including dyskinesias and tremors. This assertion is true. The extrapyramidal system is a network of brain regions involved in coordinating movement and is subject to influence by structures such as the basal nuclei and the cerebellum. When these connections or the regions themselves are compromised, for instance in Parkinson's disease, symptoms like muscle tremor, rigidity, and slowness of movement are common. These symptoms, particularly tremors, are indicative of damage within the extrapyramidal tracts, given the role they play in regulating movement and maintaining posture and muscle tone.