Investigating Midsegments of Triangles
1) Construct Segment AB's midpoint by using the midpoint tool.
2) Construct Segment AC's midpoint by using the midpoint tool.
3) Draw the midsegment DE using the segment tool.
4) Measure the lengths of segment DE and segment BD using the distance tool.
5) How are the lengths related? Move the triangle's vertices to see if you can determine a relationship.
6) Measure Angle EDA using the angle measure tool.
7) Measure Angle CBA using the angle measure tool.
8) What do you notice about the angles?
9) Measure the other angles of the triangles. Does your theory still hold?
10) What can we say about midsegments of triangles? Why? What previous theorems support you reasoning?
11) Will your answer to number 10 be true for all three midsegments in a triangle?