| 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... | |
| Ken 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 - Mathematics - 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... | |
| David Betounes, Mylan Redfern - Computers - 2001 - 430 pages
...proves, usmg vector methods, the well-known geometric fact: the line segment joining the midpoints **of two sides of a triangle is parallel to the third side and** half as long. Example 6.3 (Altitudes of a Triangle) Le: points ABC be the vertices of a triangle in... | |
| Ajit Kalra, James Stamell - Mathematics - 2006 - 540 pages
...AB = ED, prove that С is the midpoint of AE. в Prove that the interval joining the midpoints of 2 **sides of a triangle is parallel to the third side and equal to** half its length. 14 ABC is an isosceles triangle in which AB = AC. BMand CNare drawn perpendicular... | |
| Clayton W. Dodge - Mathematics - 2004 - 310 pages
...of Menelaus' theorem, the following theorems are given. 4.4 Theorem The line joining the midpoints **of two sides of a triangle is parallel to the third side.** Let M and N be the midpoints of sides AB and CA of triangle ABC. (See Fig. 4.4.) Let line MN meet side... | |
| N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...vectors represented by the other sides. (Punjab, 1986 S) 2. Prove that the line joining the mid-points **of two sides of a triangle is parallel to the third side and** half of it. (N. Bengal, 1989 ; Marathwada, 1990) 3. Prove that the lines joining the mid-points of... | |
| K. A. Stroud, Dexter J. Booth - Mathematics - 2005 - 366 pages
...QB-QB = 0 QB + QD = 0 Here is one more. Example 4 Prove by vectors that the line joining the mid-points **of two sides of a triangle is parallel to the third side and** half its length. Let D and E by the mid-points of AB and AC respectively. We have DE = M + ÄE Now... | |
| Mel Friedman, Lina Miceli, Robert Bell, Michael Lee, Sally Wood, Adel Arshaghi, Suzanne Coffield, Michael McIrvin, Anita Price Davis, Research & Education Association, George DeLuca, Joseph Fili, Marilyn Gilbert, Bernice E. Goldberg, Leonard Kenner - Study Aids - 2005 - 886 pages
...the slope of BC. Denote it by m. 4-0 _ 1 10 + 6~4 m We know that a segment that joins the midpoints **of two sides of a triangle is parallel to the third side.** So, DE is parallel to BC, and as a result they have the same slope. Therefore, the slope of DE is -... | |
| E.S.Ramasamy - 2006 - 838 pages
...triangle are equal then the angles opposite to them will also be equal. 4. The line joining the mid **points of two sides of a triangle is parallel to the third side.** 5. The angle opposite to the greater side is always greater than the angle opposite to the smaller... | |
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