Which procedure involves taking photos both inside and outside the mouth?

Dental photography is the correct answer as it specifically refers to the practice of capturing images both inside the oral cavity and outside it to document various aspects of dental health, treatment progress, or for educational purposes. This procedure can be highly beneficial for a variety of reasons, including case documentation, treatment planning, and enhancing communication with patients and other healthcare professionals.

Vital sign assessment primarily focuses on measuring indicators like heart rate, blood pressure, and respiratory rate, and does not involve any photographic elements. Orthodontic adjustments relate to the mechanical changes made to braces or appliances to achieve intended tooth movement and do not typically require photographic documentation of both intraoral and extraoral views. Prophylaxis completion refers to the cleaning and preventive procedures performed on teeth to ensure dental health, which also would not involve photography.