Mathematics
Grade9
Easy

Question

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

What is step no. 2?
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:

Segment Addition Postulate

The correct answer is: Segment Addition Postulate


    Given for a line AB + BC = AC
    The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments. So, if we have three collinear points A, B, and C on segment AC, it means AB + BC = AC. It is a mathematical fact that can be accepted without proof.

     
     
     

    Segment Addition postulate .

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