can from any point of the AB section one see the whole museum?
Source: 2021 Dürer Math Competition Regional E3 https://artofproblemsolving.com/community/c2773609_2021_
January 7, 2022
geometrypolygon
Problem Statement
The floor plan of a contemporary art museum is a (not necessarily convex) polygon and its walls are solid. The security guard guarding the museum has two favourite spots (points and ) because one can see the whole area of the museum standing at either point. Is it true that from any point of the section one can see the whole museum?