Mathematics

Question

please help thanks ❗​
please help thanks ❗​

1 Answer

  • Answer:

    The Two Column Proof is given below.

    Step-by-step explanation:

    Given:

    [tex]\overline{MP} \cong \overline{MN}[/tex]

    [tex]\overline{PO} \cong \overline{NO}[/tex]

    To Prove:

    ∠ P ≅ ∠ N

    Proof:

    In  Δ MPO  and Δ MNO

    STATEMENT                                              REASONS  

    1. MP ≅ MN                                   1. Given

    2. PO ≅ NO                                  2. Given

    3. MO ≅ MO                                 3. Reflexive property

    4. ΔMPO ≅ ΔMNO                       4. Side-Side-Side congruence test}

    5. ∠MPO ≅∠MNO                        5. Corresponding parts of congruent Triangles

    i.e ∠ P ≅ ∠ N                                 ..................Proved

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