transversal relations

Transversal relations involve a line (called a transversal) crossing two or more other lines, creating specific angle relationships. When the lines are parallel, the angles formed at the intersections have consistent properties: corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary. These relationships allow us to determine unknown angles based on the angles we know, which is useful in geometry for proving relationships and solving problems. Essentially, transversal relations help us understand how angles relate to each other when lines intersect, especially in situations involving parallel lines.