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Maths > Basic Geometrical Ideas > Vertices and Edges – Definition and Differences
Basic Geometrical Ideas

Vertices and Edges – Definition and Differences

Vertices and Edges

Vertices and edges refer to parts of geometrical shapes. However, each of them is a separate part of the shape. Students can learn more about vertices and edges, as well as their differences here.

Definition and Meaning of Vertices and Edges

A vertex refers to a single point which joins edges together in a shape. Many individuals also call a vertex as a corner or a point. Furthermore, a vertex is where two lines meet. Every corner which exists in a geometrical shape represents a vertex.

The angle is certainly irrelevant to whether or not a corner is a vertex. Furthermore, different shapes would have different numbers of vertices.

Also, a square consists of four corners where the meeting of the pair of lines takes place. Hence, a square has four vertices. Moreover, a triangle has three vertices and a square pyramid has five.

vertices and edges definition

Edges refer to the lines which join to form the vertices. Furthermore, the outline of a shape is made up by the edges. Also, the creation of an edge takes place when two vertices are joined by a line.

This matter can be somewhat confusing. This is because, in some two-dimensional shapes, there will be only as many vertices as there are edges.

A square certainly has four edges and four vertices. On the other hand, a triangle comprises of three vertices and edges. A square pyramid has a different number of edges and vertices.

Faces

The face is an important element of geometrical shapes. The face refers to any shape, which is separated from the surrounding space by a closed outline of edges.

Consider the example of a cube. Here the combination of four edges and four vertices takes place to form a square face.

Three-dimensional shapes are almost always made up of multiple faces. The exception is the sphere which has only one continuous face. On the other hand, a square pyramid certainly has five faces.

Euler’s Formula

Euler’s formula is an efficient way to count any of the geometrical elements on a shape. One big advantage of this is that it removes the requirement of manually counting out the lines or corners.

The number of faces, in addition to the number of vertices, minus the number of edges shall always equal two. When it comes to the square pyramid, five faces in addition to the five vertices are 10.

Furthermore, if one subtracts eight sides, then the result will be two. Most noteworthy, the rearrangement can take place to find any element.

Solved Question For You

Q1 Which of the following is not true with regards to the vertices and edges?

A. Vertices and edges refer to parts of geometrical shapes
B. A square consists of four vertices and three edges
C. Vertex refers to a single point which joins edges together in a shape
D. A tringle comprises of three vertices and edges

A1 The correct answer is option B., which is “a square consists of four vertices and three edges.” This is because; the correct statement would be square has four vertices and four edges.

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