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 Quadrilateral Concurrency (Posted on 2008-03-06)

Prove that the four lines obtained by joining each vertex of a quadrilateral to the centroid of the triangle determined by the other three vertices are concurrent.

 See The Solution Submitted by Bractals Rating: 3.0000 (1 votes)

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 PROBLEM CLARIFICATION Comment 6 of 6 |
`Ckeckout the following:`
`  www dot geocities dot com slash bractals slash quad5 dot jpg`
`It shows five configurations of quadrilaterals.The solid black lines are the sides of thequadrilateral, the thin black lines are construction lines to find the centroids, andthe red lines are the ones that pass throughthe same point.`
` 1) Parallelogram where the four lines merge    into two lines`
` 2) Convex`
` 3) Reflex`
` 4) Concave`
` 5) Concave where one of the vertices of the    quadrilateral coincides with its     corresponding centroid`
` `

 Posted by Bractals on 2008-03-09 16:00:00
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