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Math Help - Can you check my work on a Geometric proof?

  1. #1
    Junior Member StonerPenguin's Avatar
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    Can you check my work on a Geometric proof?

    Hello everybody! This is a question from my sister's geometry book. I have crudely recreated the image from the book below. We are given statements, we're supposed to supply the reasons. Text as written in the book will be bold, my answers will be in blue.



    Given: AC = BD
    Prove: (line segment) CD ≅
    (line segment) AB

    30. Statement: AC = BD Reason: Given
    31. Statement: AC = AB + BC Reason: Segment Addition Postulate
    32. Statement: AB +BC = BD Reason: Substitution Property of Equality
    33. Statement: BD = BC + CD Reason: Segment Addition Postulate
    34. Statement: AB + BC = BC + CD Reason: Substitution Property of Equality (Or is it the transitive property?)
    35. Statement: AB = CD Reason: Subtraction Property of Equality
    36. Statement: CD = AB Reason: Symmetric Property of Equality
    37. Statement: (line segment) CD ≅ (line segment) AB Reason: Definition of congruent segments
    Any help you guys can give would be greatly appreciated!
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  2. #2
    MHF Contributor
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    Re: Can you check my work on a Geometric proof?

    34. It's the substitution propert of equality

    looks fine
    Thanks from StonerPenguin
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  3. #3
    Junior Member StonerPenguin's Avatar
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    Re: Can you check my work on a Geometric proof?

    Thanks for your help! It's just so nice to have somebody check your work
    (I can't for the life of me figure out how to mark this thread as solved...)
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