Final answer:
When transporting a patient on Droplet Precautions, both the resident and the nurse aide must wear masks to prevent the spread of infection.
Step-by-step explanation:
When the nurse aide is transporting a patient on Droplet Precautions to the x-ray, both the patient and the nurse aide are required to wear masks. Specifically, the patient should wear a mask to contain droplets from the respiratory tract, which may contain infectious agents. Meanwhile, the nurse aide should also wear a mask to protect themselves from the potential inhalation of these droplets. This aligns with the standard droplet precaution procedures that aim to prevent the spread of infections that can be transmitted through respiratory droplets, such as the flu.