GeoGebra Lab 10

1. Open your sketch titled GeoGebra Medians Lab. Hide lines and any information so that all you see is the triangle, its midpoints, and the three concurrency points.
2. With the segment tool, create the segment connecting the Orthocenter and the Centroid.

3. Select the Slope tool in the Measurements toolbox. Click on the segment.

   
4. Create another segment with the segment tool connecting the Centroid and the Circumcenter. Using the Slope tool, find the slope of this segment, being careful to select the correct segment, if there is an overlap.
5. Make a conjecture about the slope between the Orthocenter and the Circumcenter.
6. Select one vertex of the ΔABC and move it around on your sketch. What do you conjecture about these three points?