Geometric Proofs...2

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

  1. nycmathguy

    nycmathguy

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    IMG_20220628_103327.jpg
     
    nycmathguy, Jun 28, 2022
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  2. nycmathguy

    MathLover1

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    given:

    PQ perpendicular to MN
    m< 1 = < 2

    prove:

    triangle PQR is congruent to triangle NQP

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

    1. PQ perpendicular to MN .............given
    2. m< 1 = < 2 ..................................given
    3. MQ=QN...............across equal angles lie equal sides
    4. QP=QP............ ......common side
    5.MP=NP.......................if two sides are equal (see 3 and 4), third sides are equal too
    6. ∆ MPQ = ∆ NQP .............................SSS
     
    MathLover1, Jun 29, 2022
    #2
    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Very good. No more geometric proofs until I decide to study this material.
     
    nycmathguy, Jun 29, 2022
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