Answer:
A transitive property
Step-by-step explanation:
There isn't much to this.
This is the the transitive property.
I guess I can go through each choice and tell you what the property looks like or postulate.
A) If x=y and y=z, then x=z.
This is the exact form of your conditional.
x is AB here
y is BC here
z is DE here
B) Segment Addition Postulate
If A,B, and C are collinear with A and B as endpoints, then AB=AC+CB.
Your conditional said nothing about segment addition (no plus sign).
C) Distributive property is a(b+c)=ab+ac.
This can't be applied to any part of this. There is not even any parenthesis.
D) The symmetric property says if a=b then b=a.
There is two parts to our hypothesis where this is only part to the symmetric property for the hypothesis .
