SOLUTION: verify that line nq is parallel to line pr using the converse of the triangle proportionality theorem http://prntscr.com/razb37

Algebra ->  Triangles -> SOLUTION: verify that line nq is parallel to line pr using the converse of the triangle proportionality theorem http://prntscr.com/razb37      Log On


   



Question 1153338: verify that line nq is parallel to line pr using the converse of the triangle proportionality theorem
http://prntscr.com/razb37

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
first:
8%2F6=16%2F12
4%2F3=4%2F3
or
nq%3Aqm=pr%3Arm
nq%3A%288%2B6%29=pr%3A6
nq%3A14=pr%3A6
nq%2Fpr=14%2F6
nq%2Fpr=7%2F3
nm%3Anq=pm%3Apr
%2812%2B16%29%3Anq=12%3Apr
28pr=12nq
nq%2Fpr=28%2F12
nq%2Fpr=7%2F3
=> nq || pr