Question

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

Diana is correct, but Joby is not.

Both Diana and Joby are correct.

Neither Diana nor Joby is corre