Collinearities and Concurrencies: Sides of Cevian Triangle.

If the sides of the Cevian triangle are extended, they intersect the sides of the ABC in three new points [math]Q_A[/math], [math]Q_B[/math], and [math]Q_C[/math] (or at the infinite point). These three points do not form a triangle, but are collinear. The line containing these points is called the [b]Axis of Perspective[/b] or the [b]Tripolar Line[/b]. Notice that [math]Q_A[/math] is collinear with B and C and with [math]C_P[/math] and [math]B_P[/math], making [math]Q_A[/math] a point of concurrency.

 

Steve Phelps

 
Resource Type
Activity
Tags
geometry  modern  triangle 
Target Group (Age)
14 – 18
Language
English
 
 
GeoGebra version
5.0
Views
2819
Contact author of resource
 
 
© 2024 International GeoGebra Institute