Question

iting a two-column proof

given: $angle t cong angle v$; $overline{st} parallel overline{uv}$
prove: $overline{tu} parallel overline{vw}$

complete the two - column proof.

statements	reasons
2. $angle t cong angle u$	2. $\triangle$
3. $angle t cong angle v$	3. given
4. $angle u cong angle v$	4. $diamond$
5. $overline{tu} parallel overline{vw}$	5. $\triangle$

Explanation:

Answer:

1. If two parallel lines are cut by a transversal, alternate interior angles are congruent
2. Transitive Property of Congruence
3. If alternate interior angles are congruent, then the lines cut by the transversal are parallel