Triangle Midsegment Theorem - exploration

Draggable demonstration of the midsegments of a triangle forming four congruent triangles

1. How many midsegments does a triangle have?

2. How many triangles are created inside the larger triangle when all the midsegments are drawn in?

3. What observations can you make about those triangles? How are they related to each other?

4. Given that EF, ED, and FD are all midsegments, how can you prove AED FDE?

5. What is true about angle EBC and angle AED? How do you know that is true?

6. How can you prove AED EBF?