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Adjacent vertices are two vertices in a graph that are directly connected by an edge. In other words, if there is a line segment or arc linking the two vertices, they are considered adjacent. This concept is fundamental in graph theory and helps in understanding the structure and properties of graphs.
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What is a line segment conecting two vertices of a polygon called?
Adjacent vertices: side Non-adjacent: diagonal
Diagonals in a Decagon?
They are straight joining vertices to non-adjacent vertices.
What is a line segment that joins two non-adjacent vertices in a rectangle?
The diagonal joins two non-adjacent vertices in a rectangle.
Why does the triangle donot have diagonals?
A triangle does not have diagonals because it is a polygon with only three sides and three vertices. Diagonals are defined as line segments connecting non-adjacent vertices, but in a triangle, all vertices are adjacent to each other. Therefore, there are no pairs of non-adjacent vertices to connect, resulting in no diagonals.
What is an adjacency matrix?
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
What is a line segment conecting two vertices of a polygon called?
Adjacent vertices: side Non-adjacent: diagonal
What is a line segment connecting two vertices?
An edge is a line segment that connects two adjacent vertices. If the vertices are non-adjacent, the line segment is known as a diagonal.
Diagonals in a Decagon?
They are straight joining vertices to non-adjacent vertices.
What is a line segment that joins two non-adjacent vertices in a rectangle?
The diagonal joins two non-adjacent vertices in a rectangle.
What is a line drawn between 2 vertices?
If between two adjacent vertices then in 2-dimensions it is a side, in 3-d and edge. If between non-adjacent vertices, a diagonal.
What are the adjacent sides intersecting?
They are corners or vertices.
Line segment connecting two vertices?
In a polygon, a line segment that connects two vertices is an edge, but only if they are adjacent. A line segment connecting two non-adjacent vertices is a diagonal.
Why does the triangle donot have diagonals?
A triangle does not have diagonals because it is a polygon with only three sides and three vertices. Diagonals are defined as line segments connecting non-adjacent vertices, but in a triangle, all vertices are adjacent to each other. Therefore, there are no pairs of non-adjacent vertices to connect, resulting in no diagonals.
What is an adjacency matrix?
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
Angle pairs are located at vertices of a quadrilateral?
consecutive\adjacent
What is a line segment connecting two vertices of a polygon is called a what?
If two vertices are adjacent to each other, the line segment connecting the two is known as an edge. If they are non-adjacent it is known as a diagonal.
Is a diagonal always a side of a polygon?
No, a diagonal is never a side of a polygon:A diagonal is a line between two non-adjacent vertices of a polygon;A side is a line between two adjacent vertices of a polygon.
