4.7 Dynamic Illustration of the Definition of a Simple Hexagon
The human brain is the best pattern recognizer in history
Heinz-Karl Winkler

Definition. A simple hexagon ABCDEF is a set of six distinct points A, B, C, D, E, F, no three collinear, called vertices, and the six distinct lines AB, BC, CD, DE, EF, FA, called sides. The pairs of points A and D, B and E, and C and F are called opposite vertices. The three pairs of lines determined by opposite vertices are called diagonal lines. The pairs of lines AB and DE, BC and EF, and CD and FA are called opposite sides. The three points of intersection of the opposite sides are called diagonal points.

       In the figure of simple hexagon ABCDEF, the points I, J, and K are diagonal points and the dotted green lines are diagonal lines.

Simple Hexagon ABCDEF

Drag the vertices A, B, C, D, E, and F of the simple hexagon ABCDEF.

Observe the diagonal points I, J, and K and the three diagonal lines.

Timothy Peil, 7 February 2013, Created with GeoGebra

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  Timothy Peil  Mathematics Dept.  MSU Moorhead
© Copyright 2013 - Timothy Peil