Question

Which line segment could be a midsegment of ∆abc

Answer 1

Answer:

$\overline{DF}$ could be a midsegment of ∠ABC.

Step-by-step explanation:

A midsegment of a triangle must be two things:

1. Parallel to the 3rd side, in this case, $\overline{AD}$.

2. Half the length of the 3rd side, in this case, $\overline{AD}$.

Since we don't know the lengths, we can only go off of 1. There is only one line that is parallel to  $\overline{AD}$ and it is $\overline{DF}$.

Hope this helped!