6.4 The Triangle Midsegment Theorem - WordPress.com · 6/1/2018  · triangles in Stage 2? What is...

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6.4TheTriangleMidsegmentTheoremUsingtheMidsegmentofatriangleWhatdoyouthinkamidsegmentis?Amidsegmentofatriangleisasegmentthatconnectsthemidpointsoftwosidesofthetriangle.EVERYtrianglehasthreemidsegments,whichformthemidsegmenttriangle.Example1:UsingmidsegmentsinthecoordinateplaneIntriangleJKL,showthatmidsegmentMNisparalleltoJLandthatMN=½JL

Example2:Provingthetrianglemidsegmenttheorem

Example3:UsingthetrianglemidsegmenttheoremTrianglesareusedforstrengthinrooftrusts.Inthediagram,UVandVWaremidsegmentsoftriangleRST.FindUSandRS

Example4:UsingtheTriangleMidsegmentTheorem Example5:ModelingwithMathematicsHomework3,4,7,8,11-16,17,19,23,25

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