every very distinguished pentagon has an axis of symmetry
Source: Austrian Regional Competition For Advanced Students 2013, p4
February 19, 2020
equal segmentsequal anglespentagongeometrysymmetry
Problem Statement
We call a pentagon distinguished if either all side lengths or all angles are equal. We call it very distinguished if in addition two of the other parts are equal. i.e. sides and angles or sides and angles.Show that every very distinguished pentagon has an axis of symmetry.