Section 4b: Centroid
Directions for Using the Applet:
1. Remember: A median connects a vertex of a triangle to the midpoint of the opposite side.
2. In this applet, you will see three medians and a special orange point called the centroid.
3. Move the BIG WHITE VERTICES of the triangle to try different shapes.
- Do this before re-sliding the slider.
Questions to Answer (Write in Complete Sentences):
1. What word describes the point where the three medians intersect? How do they intersect?
2. If a purple median measures 18 inches, what are the lengths of the two segments it creates?
3. If a blue median measures 12 inches, what are the lengths of the two segments it creates?
4. Find the exact value of each ratio: a) AG / AE b) CG / CD c) BG / BF
5. What pattern do you notice in your answers to question 4?
6. If only one median is drawn, how can you locate the centroid without constructing the other two?