prop. of equality that justifies 'If AB = CD and CD = EF,...

[JayJay06]

Name the property of equality that justifies the statement:

If AB = CD and CD = EF, then AB = EF.

My anwer is Symmetric Property.

May someone tell me if this answer is correct?

 

[pka]

Transitivity?

 

[stapel]

What properties are you given? What are their definitions? On what basis did you choose "Symmetric"?

Please be specific. Thank you.

Eliz.

 

[Mrspi]

Re: prop. of equality that justifies 'If AB = CD and CD = EF

Name the property of equality that justifies the statement:

If AB = CD and CD = EF, then AB = EF.

My anwer is Symmetric Property.

May someone tell me if this answer is correct?

No, that is not correct.

Look at the properties of real numbers.

You should find one that looks like this....the TRANSITIVE property:

if a = b, and b = c, then a = c.

Compare this to your problem:

If AB = CD, and CD = EF., then AB = EF.

To state the Transitive Property in "common sense" terms, we might say:

if two things are equal to the same thing, then they are equal to each other.

How does this apply to your problem? Well,

we are given that AB = CD. We are also given that CD = EF. We have two things, AB and EF, which are both equal to CD. So, those two things must be equal to each other.