Question

Determine the property, definition, postulate, or theorem that bestjustifies each statement.Given: AC = BD; AB = 3x - 2; CD = 10ABсD If AC = AB + BC and AC = BD.then AB + BC =BD

Answer 1

The given statement is

$AC=AB+BC\rightarrow AC=BD,then,AB+BC=BD$

As you can observe, the observe, we made a substitution. However, the exact property used here is the transitive property of equalities, that's the property responsible for the substitution in mathematics.

Therefore, the answer is the transitive property of equalities.