The diagonals of a quadrilateral

A quadrilateral of any shape whatever is divided by a transversal into two quadrilaterals. The diagonals of the original figure and those of the two resulting (smaller) figures are then drawn. Show that their three points of intersection are collinear. ([i]American Mathematical Monthly[/i] [Vol. 22, No. 5 (May 1915),pp. 165-166] (solved by Anna Margaret Mullikin (March 7, 1893 - August 24, 1975)

 

Lamberto Lamberti

 
Resource Type
Activity
Tags
quadrilateral 
Target Group (Age)
15 – 18
Language
Italian / Italiano‎
 
 
GeoGebra version
4.4
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