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Varignon Investigation

Autor:Shawn Remy, Auston B Cron
  • Use Toolbar Image to create 4 random, non-collinear points (A,B,C,D).
  • Use Toolbar Image to connect the points and form a quadrilateral.
  • Use Toolbar Image to find the midpoint of each side.
  • Use Toolbar Image to connect the four midpoints.
  • Use Toolbar Image to move points A, B, C, or D.
1. What do you notice about the shaded quadrilateral? 2. Use the Toolbar Image, Toolbar Image, and/or Toolbar Image tools to verify your answer to #1.

What type of quadrilaterals are formed?

Use the applet below to investigate the type of quadrilateral that is formed by the midpoints of various figures.
  • Follow the same steps as above to create the Varignon quadrilateral for each shape below.
  • You can move the green points.
  • What type of Varignon quadrilateral is formed by each shape?
  • Use the Toolbar Image, Toolbar Image, and Toolbar Image tools to verify your answers.

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