Geometry Tutorial #7 -Assorted Configurations (Theory)

#IMO​ #Geometry #MathOlympiad​
In this video we discuss the fourth chapter from EGMO book “Assorted Configurations”. We study many common configurations that appear in many Olympiad geometry problems including (Simson’s line Bisection, Duality of Orthocenters and Excenters, The Diameter of the Incircle, Midpoint of Altitudes, An Incircle Concurrency, Isogonal and Isotomic Conjugates, Symmedians, Circles Inscribed in Segments, Curvilinear Incircle Chord, and Mixtilinear Incircles).
00:00 Intro
2:23 Lemmas’ Revision
4:52 Simson’s line Bisection
22:11 Duality of Orthocenters and Excenters
27:27 The Diameter of the Incircle
37:04 Midpoint of Altitudes
41:35 An Incircle Concurrency
49:57 Isogonal and Isotomic Conjugates
59:49 Symmedians
01:38:12 Circles Inscribed in Segments
01:45:22 Curvilinear Incircle Chord
01:56:13 Mixtilinear Incircles
02:10:03 Summary
Thanks to Arc for desigining the thumbnail.
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