If a child cannot maintain her balance, control her motor behavior, or coordinate her eye movements with bodily sensations, which part of the brain might be faulty?

The correct answer is the cerebellum.

Explanation:

The cerebellum is one of the major parts or regions of the brain. The cerebellum receives messages from the spinal cord, sensory system, and several parts of the brain and then controls motor movements.

The cerebellum assists several functions and voluntary movements such as maintain balance, coordination between different parts of the body, and speech, eye movements, bodily sensations, and other essential functions.

Thus, the correct answer is the cerebellum.