The Corresponding Angles Theorem is a fundamental concept in geometry. It states that when a transversal intersects two parallel lines, the corresponding angles formed are congruent.

To understand this theorem better, let's take a look at an example. Consider two parallel lines, line A and line B, intersected by a transversal line, line C. The angles formed on line A and line B that are on the same side of line C are the corresponding angles. According to the Corresponding Angles Theorem, these corresponding angles are always congruent.

For instance, if angle 1 is congruent to angle 4, then angle 2 must be congruent to angle 5, and angle 3 must be congruent to angle 6.

This theorem is helpful in various geometric proofs and can be applied to solve problems involving parallel lines and transversals.