Converse of Midpoint theorem in a triangle
1) Locate the midpoint D of [AB].
2) Draw the parallel line from D to (BC).
3) Label E the point of intersection of the parallel line and [AC].
Compare the length of [AE] and [EC]. What do you notice?
Compare DE and BC. What do you notice?
In conclusion, the line segment passing through the midpoint of one side in a triangle and parallel to the third side will cut the second side at ______________ and will be equal to ______________ of the length of the third side.