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10 August, 11:58

What is the missing step in this proof?

ABC DBE

BAC BDE

ACB DEB

BDE ADE

CAB DAC

Given: ABC with Prove: ||

StatementReason 1. given 2. Addition Property of Equality 3. using common denominators 4. AB = AD + DB

CB = CE + EB segment addition 5. Substitution Property of Equality 6. Reflexive Property of Congruence 7. ABC ~ DBE SAS similarity criterion 8. BAC BDE Corresponding 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

+4
Answers (1)
  1. 10 August, 12:10
    0
    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
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Home » Mathematics » What is the missing step in this proof? ABC DBE BAC BDE ACB DEB BDE ADE CAB DAC Given: ABC with Prove: || StatementReason 1. given 2. Addition Property of Equality 3. using common denominators 4. AB = AD + DB CB = CE + EB segment addition 5.
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