Answered

What is the missing step in this proof?

ABC DBE

BAC BDE

ACB DEB

BDE ADE

CAB DAC

Given:  ABC with Prove:  || 



StatementReason1. given2. Addition Property of Equality3. using common denominators4. AB = AD + DB
   CB = CE + EBsegment addition5. Substitution Property of Equality6. Reflexive Property of Congruence7.  ABC ~  DBESAS similarity criterion8. BAC  BDECorresponding angles of similar triangles are congruent.9.  || If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.Question 7 of 16What is the missing step in this proof?ABC  DBE
BAC  BDE
ACB  DEB
BDE  ADE
CAB  DAC

Verified Answer :

  1. AD/DB=CE/EB

    given


    2. AD/DB+1=CE/EB+1

    Addition Property of Equality


    3. AD+DB/DB=CE+EB/EB

    using common denominators


    4. AB = AD + DB

       CB = CE + EB

    segment addition


    5. AB/DB=CB/EB

    Substitution Property of Equality


    6.ABC DBE

    Reflexive Property of Congruence


    7.  ABC ~  DBE

    SAS similarity criterion


    8. 

    Corresponding angles of similar triangles are congruent.


    9. DE|| AC

    If the corresponding angles formed by 

Answer:

C is the answer

Step-by-step explanation: i took the same test