Geometric Proofs...3

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Jun 28, 2022.

  1. nycmathguy

    nycmathguy

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    IMG_20220628_103338.jpg
     
    nycmathguy, Jun 28, 2022
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  2. nycmathguy

    MathLover1

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    given:

    PN bisects MQ
    < M and < Q are right angles

    prove:

    triangle PQR is congruent to triangle NMR

    statement.......................................reason

    1. PN bisects MQ.......................given
    2. < M and < Q are right angles.....given
    3. PR =RN and MR=RQ................bisecting forms two = segments
    4. < M= < Q .........identity
    5. < P= <N................... by def. of vertical angles
    6. Δ PQR ≅ Δ NMR.................ASA
     
    Last edited: Jun 29, 2022
    MathLover1, Jun 29, 2022
    #2
    nycmathguy likes this.

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  3. nycmathguy

    nycmathguy

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    We will return to this material in the future.
     
    nycmathguy, Jun 29, 2022
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