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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
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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taramgrant0543664
 one year ago
Best ResponseYou've already chosen the best response.0I'm thinking its D

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0You can't use the reason of the vertical angles theorem to prove the vertical angles theorem.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0I don't agree with the earlier statements of this proof. There are statements missing.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0The answer is C, but this is a very bad proof.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Here 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how is it C http://hotmath.com/hotmath_help/topics/verticalanglestheorem.html this looks close to the answer im not sure just wondering @mathstudent55
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