Invariant Properties of Plane Figures

IDevice Icon Polygon of Midpoints

Use GeoGebra to:

  1. Construct any polygon P of side n ( )
    • Use the Midpoint tool in GeoGebra to locate the midpoints of all the sides of the polygon P
    • Join the midpoints to construct polygon P'
    • Manipulate the objects and record your observations

iDevice icon Reflection
  1. What did you observe in the previous activity?
  2. What is the mathematical justification for your observations?
  3. Other than the Midpoint tool, how else would you construct polygon P'?
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JCA Presentation: Using GeoGebra in Secondary School Mathematics teaching