Geometry: Unit 3: Lesson 3: Second: Midsegment Theorem Exploration
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.
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.
TRIANGLE MIDSEGMENT THEOREM
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. A midsegment of a triangle is _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.