Question

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Answer 1

Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct?



Diana’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


Joby’s Proof

Statement
Justification
2 = 4
Vertical angles are congruent.
1 = 3
Vertical angles are congruent.
Vertical Angles are congruent.
Vertical Angle Theorem
Answer
Both Diana and Joby are correct.
Diana is correct, but Joby is not.
Joby is correct, but Diana is not.
Neither Diana nor Joby is correct.

Answer 2

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