Four steps of a proof are shown.
Given: AC = AB + AB
Prove: AB = BC

What is step no. 3?

Statements	Reason
1. AC = AB + AB	1. Given
2. AB + BC = AC
3. AB + AB = AB + BC
4. AB = BC

The correct answer is: Substitution Property of Equality

Given AB + AB = AC
AB + BC = AC
So , using Substitution Property of Equality
The substitution property of equality states that if two quantities are equal, then one can replace the other in any Mathematical equation or expression.
AB + AB = AB + AC

 

 

The substitution property of equality states that if two quantities are equal, then one can replace the other in any Mathematical equation or expression.