SOLUTION: given triangle ABC and segment DE, if AD =2, DB =3, AE =4 and EC =4, is DE parallel to BC?

Algebra ->  Parallelograms -> SOLUTION: given triangle ABC and segment DE, if AD =2, DB =3, AE =4 and EC =4, is DE parallel to BC?      Log On


   

Question 173442This question is from textbook
: given triangle ABC and segment DE, if AD =2, DB =3, AE =4 and EC =4, is DE parallel to BC? This question is from textbook

Answer by nycsub_teacher(90) About Me  (Show Source):
You can put this solution on YOUR website!
The "Triangle Proportionality Theroem" states: If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional length.
AD/DB does not equal AE/CE
AD = 2
DB = 3
AE = 4
EC = 4
We now have two fractions:
2/3 and 4/4
QUESTION:
Are these two fractions the same?
No, right?
So, the answer to your question is NO: DE is NOT parallel to BC