Question

Study the Proof Given.

Answer 1

The correct answers are:

Definition of midpoint; Given; and Transitive Property.

Explanation:

One of our givens is that B is the midpoint of AC. The definition of a midpoint is a point that is an equal distance from each midpoint of a segment; this means that AB would equal BC by definition of midpoint.

We are given that BC is congruent to DE.

Algebraically, the transitive property states that if a = b and b = c, then a = c. For this problem, we have AB = BC, and BC = DE, so AB = DE.

Answer 2

1) Given 
2) Midpoint of segment AC is given as B. Therefore, AB~= BC 
3) Given 
4) Knowing that AC~=BC, AC~= DE 

Hope I helped :)