 | 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 concurrent.... | |
 | 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... | |
 | György Hajós, Andy Liu, G. Neukomm, János Surányi - Mathematics - 2001 - 164 pages
...the other side that is also part of the locus. Midpoint Theorem. The segment joining the midpoints of two sides of a triangle is parallel to the third side and equal to half its length. Proof. Let E and F be the respective midpoints of the sides CA and AB of an arbitrary... | |
 | 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. then so also... | |
 | Pam Meader, Judy Storer - Education - 2001 - 108 pages
...sides of a triangle using a compass. • discover that a segment whose endpoints are the midpoints of two sides of a triangle is parallel to the third side of the triangle, and its length is one half the length of the third side. Overview Through construction... | |
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The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. 
