Which of the following justifies the statement below? if ab = bc and bc = de, then ab = de.
a. transitive property of equality
b. segment addition postulate
c. distributive property of equality
d. symmetric property of equality
will give !

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 .  

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right