Geometry Tutorial #1 -Angle Chasing (Theory)

#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. Inequalities playlist: https://youtube.com/playlist?list=PL1qInO9wTp3mgEn4_X2niePNxrX26OJBl&si=ELV8IYRYz5cyq0sG IMO Past Problems: https://youtube.com/playlist?list=PL1qInO9wTp3kBq7mFRtDauNbuQnddGd6H Functional Equations playlist: https://youtube.com/playlist?list=PL1qInO9wTp3lh0uGN9W6JufoBk7g0BDCL Geometry playlist: https://youtube.com/playlist?list=PL1qInO9wTp3lG6O06huPmQjR1kpeLDI76&si=DBuTjkYVTqTaMLIM Shorts: https://youtube.com/playlist?list=PL1qInO9wTp3m388GGbyWbw85LZRhn3dQw __________________________________________________________________________________________ I upload videos concerning math Olympiad contests to help students preparing for math Olympiad and all people who share the love for some interesting math problems. Don't forget to subscribe to the channel! __________________________________________________________________________________________ Email me your thoughts! ([email protected]) Discord server: https://discord.gg/RcP9eX9yg2 Donate: https://www.paypal.com/paypalme/hommeida?locale.x=en_US