5.1 midsegments in trignales
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This geometry document contains notes on midsegments in triangles. It defines a midsegment as the segment joining the midpoints of two sides of a triangle. The midsegment theorem states that a midsegment is parallel to the third side and half its length. The document provides examples of finding lengths of midsegments and sides of triangles using parallelism and proportional reasoning. It concludes with a problem involving finding the values of two expressions containing the variable x.
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5.1 midsegments in trignales
- 1. Geometry Name: ________________________________________ Notes Date; ______________________ Period: ____________ 5.1 Midsegments in Triangles Objective: ________________________________________________________________________ What is a Midsegment? DEFINITION MIDSEGMENT THEOREM VISUAL: GUIDED PROBLEMS All lines inside triangle ABC are midsegments. 1. What is the midsegment of AB: ______ 2. Line FE is parallel to _____ 3. Line FD is parallel to _____ 4. Line DE is parallel to _____ 5. If FE = 5, then AB= ____ 6. If FD=10, then CE= ____ 7. If AB=30, then FE= ____ 8. If CA=12, then DE=_____ If MP=2x-1, and BC=3x+2, what is MP and BC?
- 2. If MP=2x-1, and BC=3x+2, what is MP and BC?