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Mathematics, 20.01.2021 02:00 romeroalexis817
Kelly and Daniel wrote the following proofs to prove that vertical angles are congruent. Who is correct?
Line segment NT intersects line segment MR, forming four angles. Angles 1 and 3 are vertical angles. Angles 2 and 4 are vertical angles.
Kelly's Proof
Statement Justification
∠2 = ∠4 Vertical angles are congruent.
∠1 = ∠3 Vertical angles are congruent.
Vertical angles are congruent. Vertical Angle Theorem
Daniel's Proof
Statement Justification
∠1 + ∠2 = 180° Definition of Supplementary Angles
∠1 + ∠4 = 180° Definition of Supplementary Angles
∠1 + ∠2 = ∠1 + ∠4 Transitive Property of Equality
∠2 = ∠4 Subtraction Property of Equality
Both Kelly and Daniel are correct.
Neither Kelly nor Daniel is correct.
Kelly is correct, but Daniel is not.
Daniel is correct, but Kelly is not.
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Answers: 2
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Kelly and Daniel wrote the following proofs to prove that vertical angles are congruent. Who is corr...
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