Question

Which of the following justifies the statement below? If AB = BC and BC = DE, then AB = DE.

Answer 1

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 .