Explain what the triangle proportionality theorem is...
2007-04-13 16:12:15 · 4 answers · asked by Juan C 6 in Science & Mathematics ➔ Mathematics
Is a line intersects two sides of a triangle so that it is parallel to the remaining side, then it divides those two sides into proportional segments.
See section 8.1 on the link
2007-04-13 16:22:27 · answer #1 · answered by suesysgoddess 6 · 1⤊ 0⤋
Ok, from http://library.thinkquest.org/C006354/7_3.html , I gather that when two lines are parallel, and one runs through the leg of a triangle (i,e., they share more than one point), the other (assuming it intersects the two other legs of the triangle) line creates a similar triangle, and the three original angles are conserved in the smaller triangle. I hope this helps. Kind of hard to put geometry into words.
2007-04-13 23:20:01 · answer #2 · answered by Pete 2 · 0⤊ 1⤋
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
http://library.thinkquest.org/C006354/73.gif
2007-04-13 23:21:20 · answer #3 · answered by Marvinator 7 · 0⤊ 0⤋
This should help and gives an example.
http://www.pinkmonkey.com/studyguides/subjects/geometry/chap5/g0505401.asp
2007-04-13 23:22:42 · answer #4 · answered by Pam 5 · 0⤊ 0⤋