Question

Select the reason that best supports statement 5 in the given proof. (See Image)

A distributive property
B substitution
C reflective property
D subtraction property of equality

Answer 1

Substitution

Explanation:

In your premises, the state AB = BC is given to be true. In math, substitution is taking one value in an equation and "subbing it out for" one that we know has the same value. This means anywhere we see AB, we can substitute BC and the equation will still be true, because AB = BC.

In the example given, that changes AB + BC = AC to AB + AB = AC.

We substituted the AB with BC, because we know that they are of the same value.