Follow these steps to construct the midsegment of the triangle below.[br][br]1) Click on the "Midpoint or Center" tool and then on point A and point B to mark the midpoint of AB.[br][br]2) Click on the "Midpoint or Center" tool and then on point A and point C to mark the midpoint of AC.[br][br]3) Click on the Segment" tool and then on your two midpoints from steps 1 and 2 to [b]construct the midsegment[/b].[br][br]4) Click on the "Distance or Length" tool and then on your two midpoints from steps 1 and 2 to [b]measure the midsegment[/b].[br][br]5) Click on the "Distance or Length" tool and then on point B and point C to [b]measure the third side[/b] of the triangle.
Move points A, B, and C to change the triangle.[br][br][color=#ff0000]As you do this, what do you notice about the relationship between the midsegment (DE) and the third side of the triangle (BC)?[/color]