Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 3
Using the image below, find the value of the following:
Incorrect
Loaded: 0%
Progress: 0%
0:00
A degree is the number of edges that connects to a vertex.
(i) Degrees of Vertex G
Count the edges connecting to vertex G.
There are 6 edges connected to vertex G. Therefore, the degree of vertex G is 6.
(ii) Degrees of Vertex C
Count the edges connecting to vertex C.
There are 3 edges connected to vertex C. Therefore, the degree of vertex C is 3.
(iii) Degrees of Vertex F
Count the edges connecting to vertex F.
There are 2 edges connected to vertex F. Therefore, the degree of vertex F is 2.
(iv) Total number of Edges
Get the number of edges, or the lines connecting the vertices.
There are 11 lines connecting the vertices. Therefore, the total number of edges is 11.
(i) Degree of G=6
(ii) Degree of C=3
(iii) Degree of F=2
(iv) Total number of Edges =11
-
Question 2 of 3
Using the image below, find the value of the following:
Incorrect
Loaded: 0%
Progress: 0%
0:00
A degree is the number of edges that connects to a vertex.
(i) Number of Vertices
Count the vertices or points in the figure.
The figure has 9 points in it. Therefore, the total number of vertices is 9.
(ii) Number of Edges
Get the number of edges, or the lines connecting the vertices.
There are 13 lines connecting the vertices. Therefore, the total number of edges is 13.
(iii) Number of Odd Vertices
Find the degree of all the vertices and count the vertices with an odd number of degrees.
Vertices A, B, D, F, H, and I all have odd number of degrees. Therefore, the number of odd vertices is 6.
(iv) Number of Even Degrees
Find the degree of all the vertices and count the vertices with an even number of degrees.
Vertices C, E, and G all have even number of degrees. Therefore, the number of even vertices is 3.
(i) Number of Vertices =9
(ii) Number of Edges =13
(iii) Number of Odd Vertices =6
(iv) Number of Even Vertices =3
-
Question 3 of 3
Using the image below, find the value of the following:
Incorrect
Loaded: 0%
Progress: 0%
0:00
A degree is the number of edges that connects to a vertex.
(i) Degrees of Vertex A
Count the edges connecting to vertex A.
Notice that there is a loop connected to vertex A.
A loop consists of 2 edges. Therefore, there are a total of 5 edges connected to vertex A. Therefore, the degree of vertex A is 5.
(ii) Degrees of Vertex C
Count the edges connecting to vertex C.
There are 4 edges connected to vertex C. Therefore, the degree of vertex C is 4.
(iii) Number of Odd Vertices
Find the degree of all the vertices and count the vertices with an odd number of degrees.
Vertices A, B, D, and E all have odd number of degrees. Therefore, the number of odd vertices is 4.
(iv) Total number of Edges
Get the number of edges, or the lines connecting the vertices.
There are 10 lines connecting the vertices. Therefore, the total number of edges is 10.
(i) Degree of A=5
(ii) Degree of A=4
(iii) Number of Odd Vertices =4
(iv) Total number of Edges =10
