Centroid Exploration
- Author:
- Monica
1. Looking at the measurements in the picture, what are some conjectures you can make regarding centroids?
2. Test your conjecture by moving several vertices around. Does you conjecture hold true? If it does not, how would you change your conjecture?
3. Does the centroid always lie inside the triangle? Adjust the vertices to check!
4. For each segment that connects the median to the vertex, what is the ratio of the smaller part of the segment to the entire segment length? Do you think this will always hold true? Drag the vertices to create a new triangle and test your theory!
5. How would you describe the centroid to a classmate who was not here today?