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  

  1. Substitution Property of Equality
  2. Transitive property
  3. Segment Addition Postulate
  4. 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

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