Midsegments

[color=#c51414]Use the Applet to answer the following questions. Point[b] [i]C[/i][/b] is movable. For easier calculations, feel free to move it.[/color][br][br]1. In your words, explain how you could find the midpoint of a segment.[br][br][br][br]2. Write the coordinates of each midpoint.[br][br] D: _______________ E: ____________________ F: ______________________[br][br][br]3. In your words, define Midsegment.[br][br][br][br]4. Name the three Midsegments.[br][br][br][br]5. What are the lengths of the following segments.[br][br] AB = ___________ BC = _____________ CA = __________________[br] [br] FE = ___________ DF = _____________ ED = ___________________[br][br][br]6. Compare the midsegment lengths to the side lengths of the triangle. What do you notice?[br][br][br][br][br]7. Move [i][b]C[/b][/i] to (7, -1). Determine the slope of the following line segments.[br][br] AB = ___________ BC = _____________ CA = __________________[br] [br] FE = ___________ DF = _____________ ED = ___________________[br][br][br]8. Compare the slope of the midsegment to the slope of the side of the triangle. What do you notice?[br][br][br][br]9. This is the Midsegment of a Triangle Theorem. Click on the link for the official wording of the theorem. [br][br] http://mathbitsnotebook.com/Geometry/SegmentsAnglesTriangles/SATMidSegments.html

Information: Midsegments