Mathematics
Grade9
Easy
Question
Four steps of a proof are shown.
Given: AC = AB + AB
Prove: AB = BC
What is step no. 4?
| 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:
Subtraction property of equality .
The correct answer is: Subtraction property of equality
Given AB + BC = AB + AB
So , using Subtraction property of equality remove AB from both side we get
BC = AB .
Subtraction property of equality is the right choice .
The property is Subtraction property of equality
The formula we use to tell us this is if a = b, then a - c = b - c
