Dynamic Geometry Problem 1466: Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points.

Let ABCD be a tangential quadrilateral and O be the center of the inscribed circle (see the figure below). if M and N are the midpoints of the diagonals AC and BD, prove that M, O, and N are collinear points..

Newton Line

Newton line is the line that connects the midpoints of the two diagonals in a quadrilateral other than a parallelogram.

Tangential Quadrilateral

Tangential quadrilateral or circumscribed quadrilateral is a convex quadrilateral whose sides are all tangent to a circle inside it.


Static Diagram of Geometry Problem 1466

Static Geometry Problem 1466, Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points, Step-by-step Illustration, GeoGebra, iPad


Poster of Geometry Problem 1466 using iPad Apps

Poster of Problem 1466, Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points, 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.

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Geometry Problems
Open Problems
Visual Index
Ten problems: 1411-1420
All Problems
Quadrilateral
Tangential or Circumscribed Quadrilateral
Incenter, Inscribed circle
Circle
Circle Tangent Line
Midpoint
Collinear Points
Newton-Gauss Line
Dynamic Geometry
GeoGebra
HTML5 and Dynamic Geometry
iPad Apps
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