Final answer:
A veterinary technician should monitor the heart rate, respiratory rate, mucous membrane color, capillary refill time, and behavior of a cat during blood sample collection to ensure stability.
Step-by-step explanation:
When a veterinary is restraining a fractious cat to draw a blood sample, the veterinary technician should monitor various signs to ensure the patient remains stable. Key vital signs include the cat's heart rate, respiratory rate, mucous membrane color, and capillary refill time. Continuously observing the cat's behavior for any signs of stress or agitation is also crucial. In extreme cases, the use of sedatives might be necessary to ensure both the safety of the staff and the well-being of the patient.