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anonymous

  • one year ago

Derek wrote the following paragraph proof for the Vertical Angles Theorem: The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 by the transitive property of equality. Angle 1 is equal to angle 3 _____________________. Which phrase completes the proof? A. by construction using a straightedge B. by the definition of a perpendicular bisector C. by the subtraction property of equality D. by the vertical angles theroem

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @ganeshie8

  3. anonymous
    • one year ago
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    @taramgrant0543664

  4. taramgrant0543664
    • one year ago
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    I'm thinking its D

  5. mathstudent55
    • one year ago
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    You can't use the reason of the vertical angles theorem to prove the vertical angles theorem.

  6. mathstudent55
    • one year ago
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    I don't agree with the earlier statements of this proof. There are statements missing.

  7. mathstudent55
    • one year ago
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    The answer is C, but this is a very bad proof.

  8. mathstudent55
    • one year ago
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    Here is a better proof: Angles 1 and 4 are a linear pair, so they are supplementary. Angles 3 and 4 are a linear pair, so they are supplementary. The measures of angles 1 and 4 add to 180 by the definition of supplementary angles. The measures of angles 3 and 4 add to 180 by the definition of supplementary angles. The sum of the measures of angles 1 and 4 equals the sum of the measures of angles 3 and 4 by substitution. m<1 = m<3 by the subtraction property of equality

  9. anonymous
    • one year ago
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    how is it C http://hotmath.com/hotmath_help/topics/vertical-angles-theorem.html this looks close to the answer im not sure just wondering @mathstudent55

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