Reflections of the Orthocenter in Cevian Lines

Take any point P and reflect the orthcenter H in the cevians AP, BP, and CP producing Ha, Hb, and Hc. Circles APHa, BPHb, and CPHc intersect at Q, on the rectangular circumhyperbola through P and the fourth intersection with the circumcircle.
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Steve Phelps —

 
Resource Type
Activity
Tags
geometry  orthocenter  reflection  triangle 
Target Group (Age)
14 – 18
Language
English
 
 
GeoGebra version
5.0
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CC-BY-SA, GeoGebra Terms of Use
 

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