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 is the line that connects the midpoints of the two diagonals in a quadrilateral other than a parallelogram.
Tangential quadrilateral or circumscribed quadrilateral is a convex quadrilateral whose sides are all tangent to a circle inside it.
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Ten problems: 1411-1420
Tangential or Circumscribed Quadrilateral
Incenter, Inscribed circle
Circle Tangent Line
HTML5 and Dynamic Geometry
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