Question

1. when two lines are cut by a transversal so that corresponding angles have equal measures, what can we conclude about the two lines?

the lines never intersect
the lines intersect at a single point
the lines are parallel
the lines are perpendicular

Explanation:

According to the Corresponding Angles Theorem, if two lines are cut by a transversal and the corresponding angles are congruent (have equal measures), then the two lines are parallel. Parallel lines never intersect, but the more specific conclusion based on the theorem is that the lines are parallel. Intersecting at a single point is for non - parallel lines, and perpendicularity requires a 90 - degree angle relationship which is not indicated here.

Answer:

The lines are parallel