Question

writing proofs
given: ( m parallel n ), ( angle 1 cong angle 3 )
prove: ( p parallel q )
complete the two - column proof.
the two - column proof has:
statements | reasons

1. ( m parallel n ) | 1. given
2. ( \boldsymbol{downarrow} ) | 2. alternate interior ( angle s ) theorem
3. ( angle 1 cong angle 3 ) | 3. given
4. ( angle 2 cong angle 3 ) | 4. ( \boldsymbol{downarrow} )
5. ( p parallel q ) | 5. ( \boldsymbol{downarrow} )

options for the blanks: angle 1 congruent to angle 2, transitive property, converse alternate interior angles theorem, converse corresponding angles theorem

Explanation:

Answer:

1. $\angle 1 \cong \angle 2$
2. transitive property
3. converse alternate interior angles theorem