Quadrilaterals and Midpoints

1. Use the Move tool (leftmost tool) to move the vertices of the quadrilateral. What do you observe?
2. Use the Distance tool to find the distance between the points and move the points. Do your observations hold true?
3. What conjecture can you make based on your observations?
4. Select the Angle tool (right button) and click the interior of the polygon. Does your conjecture still hold?
5.  Challenge: Prove your conjecture.

Notes:

1. Click here to download the ggb file.
2. Click here to read the step-by-step tutorial.
3. Click here to go to the Mathematics and Multimedia GeoGebra Tutorial Series.
4. Click here to go to Mathematics and Multimedia