Chapter 3 - Parallel and Perpendicular Lines - Common Core Cumulative Standards Review - Selected Response - Page 213: 5

$B$ and $C$

Option A: We cannot use this statement to prove that the two lines are parallel because corresponding angles are congruent, not supplementary. Option B: We can use this statement to prove that the two lines are parallel because alternate interior angles are congruent. Option C: We can use this statement to prove that the two lines are parallel because vertical angles are congruent. Option D: We cannot use this statement to prove that the two lines are parallel because same-side interior angles are supplementary, not congruent.