Download pdf - 6.4 The Triangle Midsegment Theorem - WordPress.com · 6/1/2018 · triangles in Stage 2? What is the total perimeter of all the shaded triangles in Stage 3? PROVING A THEOREM the

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Page 1: 6.4 The Triangle Midsegment Theorem - WordPress.com · 6/1/2018 · triangles in Stage 2? What is the total perimeter of all the shaded triangles in Stage 3? PROVING A THEOREM the

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

Page 2: 6.4 The Triangle Midsegment Theorem - WordPress.com · 6/1/2018 · triangles in Stage 2? What is the total perimeter of all the shaded triangles in Stage 3? PROVING A THEOREM the

Example2:Provingthetrianglemidsegmenttheorem

Example3:UsingthetrianglemidsegmenttheoremTrianglesareusedforstrengthinrooftrusts.Inthediagram,UVandVWaremidsegmentsoftriangleRST.FindUSandRS

Page 3: 6.4 The Triangle Midsegment Theorem - WordPress.com · 6/1/2018 · triangles in Stage 2? What is the total perimeter of all the shaded triangles in Stage 3? PROVING A THEOREM the

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

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