What is the term for the point where two sides of an angle intersect?

The term for the point where two sides of an angle intersect is known as the vertex. In geometry, a vertex is defined as the precise location where two rays meet to form an angle. This meeting point is essential for determining the angle's measure and understanding its geometric properties.

In contrast, the other terms are associated with different geometric concepts. An edge typically refers to the line segment connecting two vertices in polyhedra or shapes. A face is the flat surface on a three-dimensional figure, such as a cube or pyramid, while a base usually refers to the bottom surface of a two-dimensional shape or the foundational surface of a three-dimensional object. Understanding these distinctions helps clarify the role and definition of a vertex in geometric discussions.