Copy of Triangle Midsegment Congruence

Draggable demonstration of the midsegments of a triangle forming four congruent triangles
Observations:
1. How many midsegments does a triangle have?[br]2. How many triangles are created inside the larger triangle when all the midsegments are drawn in?[br][br]3. Given that EF, ED, and FD are all midsegments, how can you prove [math]\Delta[/math]AED [math]\cong[/math] [math]\Delta[/math]EBF?[br][br]3. How can you prove [math]\Delta[/math]AED [math]\cong[/math] [math]\Delta[/math]DFC?[br][br]4. How can you prove [math]\Delta[/math]AED [math]\cong[/math] [math]\Delta[/math]FDE?[br][br]5. Will all four of the inner trianlges always be congruent, for any triangle?
– Sherry Howard, williamotto0

Information: Copy of Triangle Midsegment Congruence