The dynamic figure blow shows a scalene triangle ABC, where angle B = 60 degrees. I is the incenter, D is the midpoint of BC, and E is the midpoint of AB. The extension of DI intersects BA at point M, and the extension of EI intersects BC at point N. Prove that AN is parallel to MC.
This step-by-step interactive illustration was created with GeoGebra.
GeoGebra is free and multi-platform dynamic mathematics software for all levels of education that joins geometry, algebra, tables, graphing, statistics and calculus application, intended for teachers and students. Many parts of GeoGebra have been ported to HTML5.
Geometry Problems
Open Problems
Visual Index
Ten problems 891-900
All Problems
Triangles
Circle
60 degrees
Incenter
Parallel lines
GeoGebra
HTML5 and Dynamic Geometry
iPad Apps
View or Post a solution