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  1. #1
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    geometry

    Prove that if D is the midpoint of Line BC and Line FE = Line BD.
    then Line FE = Line DC.

    1. D is the midpoint of Line BC, Line FE = Line BD
    2. FE = BD
    3. BD = DC
    4. FE = DC
    5. Line FE = Line DC

    What is the reason for each step (1, 2, 3, 4, 5)

    Here are the answers. which match the steps.

    Transitive property
    Symmetric property
    Definition of midpoint
    Definition of congruent segments
    Addition property
    Reflexive property
    Substitution property
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  2. #2
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    Quote Originally Posted by dgenerationx2 View Post
    Prove that if D is the midpoint of segment BC and Line segment FE = Line segment BD.
    then Line segment FE = Line segment DC.

    1. D is the midpoint of Line segment BC, Line segment FE = Line segment BD=====> GIVEN
    2. FE = BD=====> GIVEN
    3. BD = DC=====> DEFINITION OF MIDPOINT
    4. FE = DC=====> TRANSITIVE PROPERTY
    5. Line segment FE = Line segment DC======> DEFINITION OF CONGRUENT SEGMENTS

    What is the reason for each step (1, 2, 3, 4, 5)

    Here are the answers. which match the steps.

    Transitive property
    Symmetric property
    Definition of midpoint
    Definition of congruent segments
    Addition property
    Reflexive property
    Substitution property
    ..
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