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.
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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