Go Geometry Problems

Dynamic Geometry Problem 902: Triangle, Four Squares, Center, Concurrent Lines. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). Levels: School, College, Mathematics Education


 

Given a triangle ABC (see the figure above) with the squares ABDE, BCFG, ACHJ, and HJKL. If M is the center of square HJKL, prove that lines DH, GJ, and BM are concurrent at O.
 

Dynamic Geometry Environment (DGE) or Interactive Geometry Software (IGS) of Problem 902

The interactive demonstration above was created with GeoGebra.

To stop/play the animation: tap the icon in the lower left corner.
To reset the interactive figure to its initial state: tap the icon in the upper right corner.
To manipulate the interactive figure: tap and drag points or lines.
  

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. It has received several educational software awards in Europe and the USA.
 
See the static diagram of problem 902

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