# Definition:Adjacent

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**Adjacent** may refer to:

- Adjacent (Graph Theory):
- Two vertices are said to be
**adjacent**if and only if there exists an edge to which they are both incident. - Two edges are said to be
**adjacent**if and only if there exists an vertex to which they are both incident. - Two faces of a planar graph are said to be
**adjacent**or**neighboring**if and only if there exists an edge to which they are both incident.

- Two vertices are said to be

- Adjacent (Geometry):
- Two angles are adjacent if and only if they share a line. Similarly:

- Adjacent in Polygons:
- The two sides of a polygon that form a particular vertex are
**adjacent to**that vertex. - The two vertices of a polygon that terminate a particular side are
**adjacent to**that side. - Two sides of a polygon that meet at the same vertex are
**adjacent**to each other. - Two vertices of a polygon that terminate the same side are
**adjacent**to each other.

- The two sides of a polygon that form a particular vertex are

- Adjacent in Polygons:

- Adjacent in Polyhedra:
- The faces of a polyhedron that form a particular vertex are
**adjacent to**that vertex. - Two vertices of a polyhedron that meet at the same face are
**adjacent to**that face. - The faces of a polyhedron that form a particular edge are
**adjacent to**that edge. - Two edges of a polyhedron that meet at the same face are
**adjacent to**that face. - Two faces of a polyhedron that meet at the same vertex are
**adjacent**to each other.

- The faces of a polyhedron that form a particular vertex are

- Adjacent in Polyhedra:

- Adjacent (in a Triangle): The two sides of a triangle that form a particular vertex are
**adjacent to**that vertex. Usually used in the context of right triangles:- Adjacent (in the context of Trigonometry): The
**adjacent side**of a given right triangle $\triangle ABC$ with respect to one of the non-right angles $\angle A$ is the side of the right triangle adjacent to $A$ which is not the hypotenuse.

- Adjacent (in the context of Trigonometry): The