| Alexander G. Alenitsyn, Eugene I. Butikov, Alexander S. Kondratyev - Science - 1997 - 536 pages
...(starting from the vertex). The middle line of a triangle (that is, the line joining the midpoints of two sides of a triangle) is parallel to the third side and is a half of it (Figure 9. 8c). 9.2.3 Equal triangles Two triangles are called equal (to each other)... | |
| N. Basu, S. Nanda, P. C. Nayak - Mathematics - 1999 - 438 pages
...and b = b\i + bJ + b3k are collinear. 6. Prove by vector method that the line joining the midpoints of two sides of a triangle is parallel to the third side and is half of the third side. 7. Show that, the internal bisectors of the angles of the triangle are... | |
| Judith Cederberg - Mathematics - 2004 - 472 pages
...verify a number of affine properties, including the following. Property la A line joining the midpoints of two sides of a triangle is parallel to the third side. Proof Let M be the midpoint of AB in AABC and let I be the unique parallel to BC through M (see Exercise... | |
| K. G. Binmore, Joan Davies - Business & Economics - 2001 - 574 pages
...to prove the following elementary geometrical results: (i)* The line segment joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. (ii) If one pair of opposite sides of a quadrilateral is parallel and equal.... | |
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