Which statement is true about vertical angles?

Vertical angles are defined as the angles that are opposite each other when two lines intersect. When two angles are vertical angles, they are formed by the crossing of two lines and share a common vertex but do not share any sides. One of the fundamental properties of vertical angles is that they are congruent, meaning they have the same measure. This congruency occurs because, based on the properties of intersecting lines, when one angle is measured, the angle directly opposite will also measure the same.

For instance, if two lines intersect and one angle measures 50 degrees, the angle across from it will also measure 50 degrees. This property holds true regardless of the specific measures involved. This congruence is crucial in various geometric theorems and proofs, making an understanding of vertical angles essential for students of geometry.

Thus, the statement about vertical angles being congruent is indeed true and reflects a key aspect of their geometric nature.