1.29 Midsegment of a Triangle
Follow these steps to construct the midsegment of the triangle below.
1) Click on the "Midpoint or Center" tool and then on point A and point B to mark the midpoint of AB.
2) Click on the "Midpoint or Center" tool and then on point A and point C to mark the midpoint of AC.
3) Click on the Segment" tool and then on your two midpoints from steps 1 and 2 to construct the midsegment.
4) Click on the "Distance or Length" tool and then on your two midpoints from steps 1 and 2 to measure the midsegment.
5) Click on the "Distance or Length" tool and then on point B and point C to measure the third side of the triangle.
Properties of midsegments
Move points A, B, and C to change the triangle. As you do this, what do you notice about the relationship between the midsegment (DE) and the third side of the triangle (BC)?