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" A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. "
A Text-book of Geometrical Deductions - Page 50
by James Andrew Blaikie, William Thomson - 1891
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Coordinate Geometry

Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 344 pages
...the point of intersection of these diagonals. 43. Prove [by using § 44 (3)] that the line joining the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. 44. ABCD is a parallelogram and E and F are'the mid-points...
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Coordinate Geometry

Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 374 pages
...the point of intersection of these diagonals. 43. Prove [by using § 44 (3)] that the line joining the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. 44. ABCD is a parallelogram and E and F are the mid-points...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...a side of a triangle, parallel to a second side, bisects the third side. 144. COR. 1. Aline joining the midpoints of two sides of a triangle is parallel to the third side, and equals one half that side. 145. COR. 2. If through the vertices of a triangle, lines...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...say that DE does to AC ? /_ _ Write the proof of this corollary in full. -B G 136. COROLLARY 2. The line which joins the mid-points of two sides of a triangle is parallel to the third side, and is equal to half the third side. A line DE drawn through the mid-point of AB, II to...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...side of a triangle and parallel to another side bisects the third side. 249. Cor. rv. The line joining the mid-points of two sides of a triangle is parallel to the third side and equal to one half the third side. HINT. Draw CF II BA. Prove CF= AE = EB. \\/ \ ,.,...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...Divide a given line in the ratio of 2 : 3 (3 : 5, 1 : 4, 1 : 2 : 3). PROPOSITION XXVI. THEOREM 213. The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side. Given the triangle ABC, and the line DE bisecting AB and...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...Divide a given line in the ratio of 2 : 3 (3 : 5, 1 : 4, 1 : 2 : 3). PROPOSITION XXVI. THEOREM 213. The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side. B " "0 Given the triangle ABC, and the line DE bisecting...
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The Teaching of Mathematics in Secondary Schools

Arthur Schultze - Mathematics - 1912 - 398 pages
...equal," but ask for the means for proving the perpendicularity of two lines. Ex. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. The synthesis is the proof commonly given in textbooks. Analysis,...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...an exterior angle at the base of the triangle. 151. COR. The line connecting the mid-points of the sides of a triangle is parallel to the base and equal to one half the base. SUG. 1. Work out an indirect demonstration. 2. Work ' out a direct demonstration...
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Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...equal to two right angles. 29— I. 8 2. Prove that the straight line joining the middle points of the sides of a triangle is parallel to the base and equal to one half of it. 8 3. If a straight line be bisected and produced to any point, the sum of the squares...
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