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Mathematics, 09.12.2021 08:20 autumnstalvey67
Henry and Amy provide the following proofs for vertical angles to be equal:
A line PQ is shown cut by a transversal t. 1, 2, 3, 4 are marked clockwise as the four angles formed by the transversal on the
Henry's proof: angle 2 + angle 3=180° (t is a straight line)
angle 1 + angle 2 = 180° (PQ is a straight line)
Therefore, angle 1 + angle 2 = angle 2 + angle 3 (Transitive Property of Equality)
Hence, angle 1 = angle 3 (Subtraction Property of Equality)
Amy's proof: angle 1 + angle 2 + angle 3 + angle 4 = 360°
Therefore, angle 1 + angle 4 = 180° (t is a straight line)
Hence, angle 4 = angle 2 (Transitive Property of Equality)
Which statement is correct? (6 points)
A. Both Henry's and Amy's proofs are incorrect.
B. Only Amy's proof is correct.
C. Only Henry's proof is correct.
D. Both Henry's and Amy's proofs are correct.
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Answers: 1
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Henry and Amy provide the following proofs for vertical angles to be equal:
A line PQ is shown cut...
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