Midsegments
Use the Applet to answer the following questions. Point C is movable. For easier calculations, feel free to move it.
1. In your words, explain how you could find the midpoint of a segment.
2. Write the coordinates of each midpoint.
D: _______________ E: ____________________ F: ______________________
3. In your words, define Midsegment.
4. Name the three Midsegments.
5. What are the lengths of the following segments.
AB = ___________ BC = _____________ CA = __________________
FE = ___________ DF = _____________ ED = ___________________
6. Compare the midsegment lengths to the side lengths of the triangle. What do you notice?
7. Move C to (7, -1). Determine the slope of the following line segments.
AB = ___________ BC = _____________ CA = __________________
FE = ___________ DF = _____________ ED = ___________________
8. Compare the slope of the midsegment to the slope of the side of the triangle. What do you notice?
9. This is the Midsegment of a Triangle Theorem. Click on the link for the official wording of the theorem.
http://mathbitsnotebook.com/Geometry/SegmentsAnglesTriangles/SATMidSegments.html