Question

In triangle ABC shown below, side AB is 10 and side AC is 8: Triangle ABC with segment joining point D on segment AB and point E on segment AC. Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

A - Segment AD is 5, and segment AE is 4.
B - Segment AD is 4, and segment AE is 8.
C - Segment AD is 4, and segment AE is 5.
D - Segment AD is 5, and segment AE is 2.

Answer 1

Answer: A. Segment AD is 5, and segment AE is 4.

Explanation:

Points D and E are midpoints. This means that AD and DB both add up to 10 and are congruent, and AE and EC both add up to 8 and are congruent. So AD= 10/2= 5 and AE= 8/2=4

hope this made sense! :)