Theorem: a line parallel to one side of a triangle divides the other two proportionately.

in the figure below, segment de is parallel to segment bc and segment ef is parallel to ab:

which statement can be proved true using the given theorem?

segment bf = 16
segment bd = 20
segment bd = 15
segment bf = 32

The answer is Segment

Step-by-step explanation:

Given that DE is parallel to segment BC, then according to the theorem, "A line parallel to one side of a triangle divides the other two proportionately".

Also from the figure, and

Then,

Substituting the values and solving it, we get,

Thus, Segment

Also, given that EF is parallel to AB, then according to the theorem, "A line parallel to one side of a triangle divides the other two proportionately".

Then,

Substituting the values and solving it, we get,

Thus, Segment

Hence, the statement is true.

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are