Concyclic

Author:
FUKUCHAN
Given triangle ABC and point D on AB. O1 is circumcircle of triangle ADC, O2 is circumcircle of triangle DBC. E on AB, F on O1, G on O2, EF//BC, and EG//AC. Please prove that points D, E, F, and G are concyclic.
GeoGebra Applet

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