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

Algebra.Com
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)   (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

RELATED QUESTIONS

given the figure Triangle ABC, with point D on line segment AB and point E on line... (answered by aswathytony)
In triangle abc at the right de is parallel to be. De is 4 bc is 8 and ae is 5 find... (answered by solver91311)
In triangle ABC,D and E are points on the sides AB and AC respectively such that DE... (answered by MathLover1)
Right angle triangle that has a line drawn parallel to the base line of the triangle.... (answered by venugopalramana)
GIVEN: In ABC, DE // BC, AD = 9, AE = 12, DE = 10,DB = 18. Find, BC, CE, and AC. (answered by MathLover1)
In a triangle ABC de is parallel to Bc and d is the mid point of Side Ab. Find Ae and BC... (answered by rothauserc,ikleyn)
In a triangle ABC,DE is a parallel to BC and D is the mid point of sideAB. Find the... (answered by ikleyn)
Prove the theorem that states that if AD/DB=AE/EC, then... (answered by ikleyn)
I have two problems that I need help: Problem #1: Prove triangle ABC is congruent... (answered by venugopalramana)