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