Question 1040947: Choose the property that justifies the following conclusion. If AC = AB + BC and AB + BC = 13, then AC = 13.
*additive property of equality
-transitive property
-symmetric property
-reflexive property
MY ANSWER:
It would be the additive property of equality because it states "if equal quantities are added to equal quantities, the sums are equal. In the problem above, it clearly is shown."
It wouldn't be the transitive property because the three variables have values that don't justify the problem. (EX: a = b and b = c, then a = c)
It wouldn't be the symmetric property because the variables would be flipped. It isn't in the problem above. (EX: a = b, then b = a)
It wouldn't be the reflexive property either because it is a quantity congruent to itself. (EX: a = a)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
It's actually the transitive property. Think of AB+BC as one variable. Let's say z = AB+BC
So we really have AC = z and z = 13, so AC = 13
Once again, the final answer is transitive property
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