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Math Help - Prove ST > UV

  1. #1
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    Prove ST > UV

    Given TU is congruent to US. US is congruent to SV.
    Prove ST > UV.

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  2. #2
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    Quote Originally Posted by magentarita View Post
    Given TU is congruent to US. US is congruent to SV.
    Prove ST > UV.
    Are points T, U, S, and V collinear?

    If so, then ST = UV.

    T-----|-----U-----|-----S-----|-----V



    Proof:

    (1) TU=US \ \ and \ \ US=SV GIVEN

    (2) TU=SV Transitive property of equality

    (3) US=US Reflexive property of equality

    (4) TU+US=SV+US Addition property

    (5) TU+US=ST \ \ and \ \ SV+US=UV Segment addition postulate

    (6) ST=UV Substitution (4) and (5)
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  3. #3
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    your reply...

    Quote Originally Posted by masters View Post
    Are points T, U, S, and V collinear?

    If so, then ST = UV.

    T-----|-----U-----|-----S-----|-----V



    Proof:

    (1) TU=US \ \ and \ \ US=SV GIVEN

    (2) TU=SV Transitive property of equality

    (3) US=US Reflexive property of equality

    (4) TU+US=SV+US Addition property

    (5) TU+US=ST \ \ and \ \ SV+US=UV Segment addition postulate

    (6) ST=UV Substitution (4) and (5)
    Your reply came out blurry.
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