The controlled movement of building occupants from an endangered area of a building to where they can be relocated in response to a fire or non-fire emergency would be described as:

The term "In-building relocation" describes the controlled movement of building occupants to safer areas within the same structure during emergencies. This process is particularly relevant in situations where evacuation from the building is either not safe or practical, allowing for a more measured response that maintains some level of safety while ensuring occupants are moved away from immediate danger.

This approach focuses on relocating individuals to designated safe zones within the building, which can be crucial in scenarios like fires, chemical spills, or other threats where exiting the building altogether may not be advisable due to conditions outside. In-building relocation typically involves clear communication, designated routes, and trained personnel to assist occupants in reaching safety without causing panic or confusion.

The other terms do not accurately reflect this concept. "Evacuation" implies a complete exit from the building, which does not align with the idea of moving occupants to safer areas inside. "Safety transfer" is not a commonly used term in emergency response contexts, and "Area containment" refers to strategies aimed at restricting the spread of hazards rather than relocating individuals. Thus, in-building relocation is the most precise description for the controlled movement of occupants in this context.