Dynamic Geometry 1460: Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals

The midpoints N, W, and T of the diagonals AC, BD, and EF of a complete quadrilateral ABCDEF lie on a line called Newton-Gauss Line.

Complete quadrilateral

Complete quadrilateral ABCDEF is the figure determined by four lines, no three of which are concurrent, and their six points of intersection A, B, C, D, E, and F.

Midpoint

Midpoint of a segment: the point on a line segment dividing it into two segments of equal length.

Static Diagram of Dynamic Geometry 1460: Newton-Gauss Line

Dynamic Geometry 1460: Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals, Step-by-step Illustration. Using GeoGebra


Poster of the Newton-Gauss Line using iPad Apps

Poster of Geometry 1460, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals, Step-by-step Illustration, GeoGebra, iPad

Classroom Resource:
Interactive step-by-step animation using GeoGebra

This step-by-step interactive illustration was created with GeoGebra.

  • To explore (show / hide): click/tap a check box.
  • To stop/play the animation: click/tap the icon in the lower left corner.
  • To go to first step: click/tap the "Go to step 1" button.
  • To manipulate the interactive figure: click/tap and drag the blue points or figures.

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