Mathematics

Grade9

Easy

Question

# 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

Statements | Reason |

1. AC = AB + AB | 1. Given |

2. AB + BC = AC | |

3. AB + AB = AB + BC | |

4. AB = BC |

- Substitution Property of Equality
- Transitive property
- Segment Addition Postulate
- Subtraction property of equality

Hint:

### Substitution Property of Equality

## 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.