What is the reason for the third step in this proof? Given: a || b, and both lines are cut by transversal t. Prove: 2 = 7

1. a || b given

2. 2 3 Vertical Angles Theorem

3. 3 6

4. 2 6 Transitive Property of Congruence

5. 6 7 Vertical Angles Theorem

6. 2 7 Transitive Property of Congruence

Answers:

Transitive Property of Equality

A) Alternate Interior Angles Theorem

B) Corresponding Angles Theorem

C) Same-Side Interior Angles Theorem

D) Vertical Angles Theorem