What is the property of corresponding angles?

Corresponding angles are formed when a transversal intersects two parallel lines. In such a scenario, the angles that lie on the same side of the transversal and in corresponding positions relative to the two lines are equal in measure. This property holds true only when the lines are parallel; therefore, corresponding angles are congruent.

The idea of congruency means that the angles have the same degree measure. For instance, if one angle measures 50 degrees, the corresponding angle will also measure 50 degrees, confirming their congruency.

This property is significant in various applications in geometry, particularly in proofs and solving for unknown angle measures. Understanding that corresponding angles are congruent allows students to make deductions about angles when dealing with parallel lines and transversals, which is a fundamental concept in geometry.