Mathematics
Grade9
Easy

Question

Four steps of a proof are shown.
Given: B is the midpoint of AC and C is the midpoint of BD.
Prove: AB = CD
What is step no. 3?
Statements Reason
1. B is the midpoint of Error converting from MathML to accessible text.. C is the midpoint of Error converting from MathML to accessible text.. 1. Given
2. Error converting from MathML to accessible text.  
3. AB = BC, BC = CD  
4.AB = CD  

  1. Definition of midpoint
  2. Transitive property of equality
  3. Definition of congruent segments
  4. Substitution Property of equality

Hint:

Transitive
a -> b
b -> c
then a ->c

The correct answer is: Definition of congruent segments


    if ( a , b ) is in relation ( b , c ) is in relation then using transitive property ( a , c ) will also be the part of relation .
    AB = BC ,
    BC = CD
    So , AB = CD by the transitive property .

     
     
     

    Transitive Relation
    a -> b
    b -> c
    then a ->c

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