Angles and parallel lines quick check
1) If two angles are alternate exterior angles, then they must be congruent. False. Alternate exterior angles are not guaranteed to be congruent. They are only congruent when the lines cut by the transversal are parallel.
2) If two angles are corresponding angles, then the lines cut by the transversal must be parallel. True. Corresponding angles are congruent if the lines cut by the transversal are parallel.
3) If two angles are vertical angles, then they must be congruent. True. Vertical angles are always congruent.
4) If two lines are parallel, then the corresponding angles must be congruent. True. Corresponding angles are congruent if the lines cut by the transversal are parallel.