What is a corresponding angle?

In geometry, a corresponding angle is a pair of angles that occupy the same relative position at each intersection where a transversal crosses two lines. If the two lines are parallel, the corresponding angles are congruent (equal in measure). Conversely, if the corresponding angles are congruent, then the two lines are parallel.

Key characteristics of corresponding angles include:

• They lie on the same side of the transversal.
• They lie on the same side of their respective intersected lines.
• When the lines are parallel, corresponding angles are equal in measure.