Question

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



Amanda’s Proof

Statement,
Justification
1 +4 = 180°,
Definition of Supplementary Angles
3 + 4 = 180°,
Definition of Supplementary Angles
1 + 4 = 3 + 4,
Transitive Property of Equality
1 3
Subtraction Property of Equality

Stephen’s Proof

Statement,
Justification
1 + 2 = 180°,
Definition of Supplementary Angles
2 + 3 = 180°,
Definition of Supplementary Angles
1 + 2 = 2 + 3,
Transitive Property of Equality
1 3
Subtraction Property of Equality

Answer 1

ANSWER CHOICES

Stephen is correct, but Amanda is not.

Amanda is correct, but Stephen is not.

Both Amanda and Stephen are correct.

Neither Amanda nor Stephen is correct.

Answer 2

Both are correct.