 A line drawn through the mid-points of two sides of a triangle is parallel to the third side.  Plane Geometry - Page 72by Edith Long, William Charles Brenke - 1916 - 276 pagesFull view - About this book
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...For if a third parallel passes through the vertex, th. 27 or cor. 1 proves it. Draw the figure. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...For if a third parallel passes through the vertex, th. 27 or cor. 1 proves it. Draw the figure. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...another side, bisects the third side. Draw a third parallel through the vertex. Then cor. 1 proves it. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...triangle, parallel to another side, bisects the third side. R. . /T /* T\ x,(V R. / f w\ „ P— 4 3 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line... | |
 | Charles Hamilton Ashton - Geometry, Analytic - 1900 - 290 pages
...of the sides AB and AC. Show that BC = 2 DE. 9. Prove that the line joining the middle points of the sides of a triangle is equal to one-half of the third side, using the points (xj, T/J), (x2 ,/2), and (x*, y*) as the vertices of the triangle. 10. If the coordinates... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...by a transversal, making the aliernate interior angles unequal, the lines are not parallel. Ex. 3. The line joining the midpoints of two sides of a triangle is parallel to the third side. EXEBCISESo LOCI 97 Ex, 4. If, from a point P in a line AB, lines PC and... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...by a transversal, making the alternate interior angles unequal, the lines are not parallel. Ex. 3. The line joining the midpoints of two sides of a triangle is parallel to the third side. Ex. 4. If, from a point P in a line AB, lines PC and PD be drawn on opposite... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...are = (?) (66, II). Etc. QED The proof if the figure is a square is exactly the same. 142. THEOREM. The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. Given: A ABC; Jtf, the B midpoint of AB ; P, the... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...are = (?) (66, II). Etc. QED The proof if the figure is a square is exactly the same. 142. THEOREM. The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. Given: A ABC; M, the B midpoint of AB ; P, the... | |
 | Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 335 pages
...the coordinates of 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... | |
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