Final answer:
A split-brain patient would draw a hammer when asked to draw with their left hand what was presented in their left visual field because the right hemisphere—which controls the left hand—processes the visual field without verbal identification.
Step-by-step explanation:
When dealing with the split-brain pathology, it is observed that when an object is shown in the left visual field, the patient cannot verbally identify it but can draw or pick it with the left hand. This is due to the fact that the visual information from the left visual field is processed in the right hemisphere, which controls the left hand but is largely nonverbal and disconnected from the speech centers usually located in the left hemisphere. In the case presented, assuming the right hemisphere's visual processing and left hand control are intact, if asked to draw with the left hand what was seen, the patient would draw a hammer.