Q5 - Parallel lines midpoint triangle locus

Through a fixed point O which is midway between two parallel lines we draw a variable line which intersects the parallel lines at points X, Y, respectively. Find the locus of points Z (or Z') such that the triangle XYZ is equilateral.
  • move blue points to move parallel lines and transversal
  • right click on PINK (Z) and GREEN (Z') points to Show Trace and see the locus