## Construct a Parallel-Hexagon with GEONexT

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On the right screen (board 2) a *parallel-hexagon* is shown - a hexagon with opposite sides parallel. Drag any of the red vertices to see how it changes.

**Construction challenge**: Under the menu *Objects/Lines* select *Line Segment*, *Parallel line*, etc. to construct your own parallel-hexagon on the left screen.

Measure all the angles. (Under the menu *Objects/Lines* select *Measure angle*, and select the 3 vertices in order that determine an angle). What do you notice about the angles of a parallel-hexagon? Check by dragging. Can you explain (prove) why its true? Go to *Parallel-Hexagon* for a hint, if necessary.

For more information about the software, go to *GEONexT* from the University of Bayreuth, Germany.

By Michael de Villiers, 30 July 2010.