ILL 1971 Problem 39
Two congruent equilateral triangles and in the plane are given. Show that the midpoints of the segments either are collinear or form an equilateral triangle.
Dataset text AoPS wiki problems. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.