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    Proof involving congruent triangles

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    Write a two column proof for the following...

    Please see the attachment for the full problem description.

    Write a two column proof for the following:

    Given: M is the midpoint of ¯KP,(KP) ⃡∥(WT) ⃡, and ¯WT≅¯MP.
    Prove: R is the midpoint of ¯KT.

    © BrainMass Inc. brainmass.com December 24, 2021, 10:25 pm ad1c9bdddf
    https://brainmass.com/math/triangles/proof-involving-congruent-triangles-473804

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    Given:
    Parallel lines:
    (1.1)
    M is the midpoint of KP
    (1.2)
    MP and WT are congruent:
    (1.3)
    Prove:
    R is the midpoint of KT, that is:
    (1.4)


    Proof:
    Examine and (shaded triangles)
    1. since given and
    2. Alternate angles between parallel lines, Given .
    3. Vertical angles are equal.
    4. From 1,2 and 3: A pair of corresponding angles and a non- included side are equal.
    Hence , since they are corresponding sides in congruent triangles.

    QED

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 10:25 pm ad1c9bdddf>
    https://brainmass.com/math/triangles/proof-involving-congruent-triangles-473804

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