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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? 2. How many triangles are created inside the larger triangle when all the midsegments are drawn in? 3. Given that EF, ED, and FD are all midsegments, how can you prove AED EBF? 3. How can you prove AED DFC? 4. How can you prove AED FDE? 5. Will all four of the inner trianlges always be congruent, for any triangle?