Triangle Midsegment Investigation
Step 1
Compare the four triangles created by all three midsegments. What do you notice about their sizes? Complete conjecture in your notes:
Triangle Midsegments Conjecture
The three midsegments of a triangle divide it into ________________.
Step 2
Explore the relationship between the angles of the smaller and larger triangles. What conclusions can you make about the angles and lengths of the midsegment and the third side of the larger triangle?
Complete conjecture in your notes:
Triangle Midsegment Conjecture
The midsegment of a triangle is __________ to the third side and _____________ the length of the third side.