The nurse assesses a patient's neurologic function. Which sign could indicate injury to the cerebellum? Select all that apply.

A. Uncoordinated finger-nose-finger test: The cerebellum coordinates voluntary muscle activity and precision. Dysmetria, or the inability to hit a target, indicates a lesion in the cerebellar hemispheres. This lack of coordination reflects a failure in the fine-tuning of motor signals. B. Smooth, balanced gait: A steady and rhythmic gait indicates intact cerebellar function and proper integration of sensory input. The cerebellum normally maintains equilibrium and posture during ambulation. This finding suggests the absence of cerebellar ataxia or motor pathway interference. C. Lost sense of smell: Anosmia results from damage to the first cranial nerve, the olfactory nerve. The cerebellum does not process sensory information related to olfaction. This deficit is associated with the anterior cranial fossa or nasal mucosa rather than hindbrain structures. D. Positive Romberg test: This test assesses stationary balance by removing visual cues. A positive result, where the patient sways or falls, indicates vestubulocerebellar dysfunction or loss of proprioception. It highlights an inability of the cerebellum to maintain truncal stability. E. Slow alternating movements: Dysdiadochokinesia is the medical term for the inability to perform rapid, alternating movements. It is a classic sign of cerebellar impairment. The cerebellum normally sequences the timing of agonist and antagonist muscle contractions for fluid motion.