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6.4 The Triangle Midsegment Theorem Using the Midsegment of a triangle What do you think a midsegment is? A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle. EVERY triangle has three midsegments, which form the midsegment triangle. Example 1: Using midsegments in the coordinate plane In triangle JKL, show that midsegment MN is parallel to JL and that MN= ½ JL

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

Page 4: 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

Page 5: 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 Relationships Within Triangles - Big Ideas Learning · 6.2 Bisectors of Triangles 6.3 Medians and Altitudes of Triangles 6.4 The Triangle Midsegment Theorem ... bisector of AB —

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