This applet contains a Triangle with a Midsegment. You can move the vertices of the triangle and see how it effects the Midsegment. The length of the Midsegment and 3rd side are also displayed.
Point D is the midpoint of line segment AC, and Point E is the midpoint of line segment CB, which makes line segment DE a midsegment.[br]Move the vertices of the triangle until you think you could propose the Triangle Midsegment Theorem. There are 2 attributes that relate the midsegment DE to the 3rd side AB.
[b][color=#9900ff]Line segment DE and line segment AB are related in two ways. What are those two ways? Hint: Think about the slopes of the two line segments. Also, compare the distances of the two line segments. Then try to complete the Triangle Midsegment Theorem.[br][br][/color][/b][color=#9900ff][b]A midsegment of a triangle is _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.[/b][/color]