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
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Ten problems: 1411-1420
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Tangential or Circumscribed Quadrilateral
Incenter, Inscribed circle
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Circle Tangent Line
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Collinear Points
Newton-Gauss Line
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