1. Remember: A [b]median[/b] connects a [b]vertex[/b] of a triangle to the [b]midpoint of the opposite side.[/b][br][br]2. In this applet, you will see [b]three medians[/b] and a special orange point called the [b]centroid[/b].[br][br]3. Move the [b]BIG WHITE VERTICES[/b] of the triangle to try different shapes.[br][list][*]Do this [b]before[/b] re-sliding the slider.[br][/*][/list][br]4. Observe the distances along the medians and how they divide.[br][br]5. Take a few minutes to experiment and pay attention to any patterns you notice.[br][br]6. If you’re stuck or unsure, scroll to the bottom to watch the [b]“Quick (Silent) Demo.”[/b]
1. What word describes the point where the [b]three medians intersect[/b]? How do they intersect?
2. If a purple median measures [b]18 inches[/b], what are the lengths of the two segments it creates?
3. If a blue median measures [b]12 inches[/b], what are the lengths of the two segments it creates?
4. Find the exact value of each ratio:[br][br] a) AG / AE[br][br] b) CG / CD[br][br] c) BG / BF
5. What pattern do you notice in your answers to question 4?
6. If only [b]one median [/b]is drawn, how can you [b]locate the centroid[/b] without constructing the other two?