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Geometry Tutorial #1 -Angle Chasing (Theory)

14.3K views on YouTube

#IMO​ #Geometry #MathOlympiad​
In this video we discuss the technique of angle chasing and apply it on many configurations to obtain nice properties, mainly we analyze the centers of the triangle (Circumcenter, Incenter, Orthocenter) in addition to cyclic quadrilaterals and tangents.
00:00 Intro
3:39 Circumcenter
12:35 Incenter
16:13 Orthocenter
19:28 A magical reflection
22:35 Cyclic Quadrilaterals
28:45 Orthic Triangle
35:45 Reflecting the Orthocenter
43:06 The Incenter/Excenter lemma
52:32 Tangents
58:00 Summary
Thanks to Arc for desigining the thumbnail.
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