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Question 1 of 4
1. Question
Using the image below, find the value of the following:
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`(i)` Degree of Vertex `B``=` (4)`(ii)` Number of Vertices with `\text(Degree) 3``=` (2)`(iii)` Sum of the Degrees `=` (18)
Hint
Help VideoCorrect
Excellent!
Incorrect
A degree is the number of edges that connects to a vertex.`(i)` Degrees of Vertex `B`Count the edges connecting to vertex `B`.
There are `4` edges connected to vertex `B`. Therefore, the degree of vertex `B` is `4`.`(ii)` Vertices with `\text(Degree) 3`Get the degrees of all the vertices and count how many vertices has `3` edges connecting to them.
The vertices `C` and `F` both have `3` edges connecting to them. Therefore, there are `2` vertices that are `\text(degree) 3`.`(iii)` Sum of the degreesGet the degrees of all the vertices and add them to get the sum of the degrees.Sum of Degrees `=` `4+3+2+4+3+2` `=` `18` Therefore, the sum of the degrees is `18`.`(i)` Degree of `B=2``(ii)` Vertices with `\text(Degree 3)=2``(iii)` Sum of Degrees `=18` -
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Question 2 of 4
2. Question
Using the image below, find the value of the following:
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`(i)` Degree of Vertex `B``=` (4)`(ii)` Number of Vertices with `\text(Degree) 3``=` (4)`(iii)` Sum of the Degrees `=` (24)
Hint
Help VideoCorrect
Nice Job!
Incorrect
A degree is the number of edges that connects to a vertex.`(i)` Degrees of Vertex `B`Count the edges connecting to vertex `B`.
There are `4` edges connected to vertex `B`. Therefore, the degree of vertex `B` is `4`.`(ii)` Vertices with `\text(Degree) 3`Get the degrees of all the vertices and count how many vertices has `3` edges connecting to them.
The vertices `C`, `E`, `G` and `H` all have `3` edges connecting to them. Therefore, there are `4` vertices that are `\text(degree) 3`.`(iii)` Sum of the degreesGet the degrees of all the vertices and add them to get the sum of the degrees.
Sum of Degrees `=` `2+4+3+2+3+4+3+3` `=` `24` Therefore, the sum of the degrees is `24`.`(i)` Degree of `B=4``(ii)` Vertices with `\text(Degree 3)=4``(iii)` Sum of Degrees `=24` -
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Question 3 of 4
3. Question
Using the image below, find the value of the following:
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`(i)` Degree of Vertex `A``=` (4)`(ii)` Degree of Vertex `B``=` (4)`(iii)` Degree of Vertex `C``=` (2)`(iv)` Sum of the Degrees `=` (12)
Hint
Help VideoCorrect
Well Done!
Incorrect
A degree is the number of edges that connects to a vertex.`(i)` Degrees of Vertex `A`Count the edges connecting to vertex `A`.
There are `4` edges connected to vertex `A`. Therefore, the degree of vertex `A` is `4`.`(ii)` Degrees of Vertex `B`Count the edges connecting to vertex `B`.
There are `4` edges connected to vertex `B`. Therefore, the degree of vertex `B` is `4`.`(iii)` Degrees of Vertex `C`Count the edges connecting to vertex `C`.
There are `2` edges connected to vertex `C`. Therefore, the degree of vertex `C` is `2`.`(iv)` Sum of the degreesGet the degrees of all the vertices and add them to get the sum of the degrees.
Sum of Degrees `=` `4+4+2+2` `=` `12` Therefore, the sum of the degrees is `12`.`(i)` Degree of `A=4``(ii)` Degree of `B=4``(iii)` Degree of `C=2``(iv)` Sum of Degrees `=12` -
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Question 4 of 4
4. Question
Using the image below, find the value of the following:
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`(i)` Degree of Vertex `P``=` (4)`(ii)` Degree of Vertex `R``=` (4)`(iii)` Degree of Vertex `S``=` (4)`(iv)` Sum of the Degrees `=` (20)
Hint
Help VideoCorrect
Fantastic!
Incorrect
A degree is the number of edges that connects to a vertex.`(i)` Degrees of Vertex `P`Count the edges connecting to vertex `P`.
There are `4` edges connected to vertex `P`. Therefore, the degree of vertex `P` is `4`.`(ii)` Degrees of Vertex `R`Count the edges connecting to vertex `R`.
There are `4` edges connected to vertex `R`. Therefore, the degree of vertex `R` is `4`.`(iii)` Degrees of Vertex `S`Count the edges connecting to vertex `S`.
There are `4` edges connected to vertex `S`. Therefore, the degree of vertex `S` is `4`.`(iv)` Sum of the degreesGet the degrees of all the vertices and add them to get the sum of the degrees.
Sum of Degrees `=` `4+4+4+4+4` `=` `20` Therefore, the sum of the degrees is `20`.`(i)` Degree of `P=4``(ii)` Degree of `R=4``(iii)` Degree of `S=4``(iv)` Sum of Degrees `=20` -
Quizzes
- Vertices and Edges
- Degrees 1
- Degrees 2
- Degrees 3
- Drawing A Network 1
- Drawing A Network 2
- Completing a Table from a Network Diagram
- Network from Maps and Plans
- Identifying Paths and Cycles
- Eulerian Trails and Circuits 1
- Eulerian Trails and Circuits 2
- Identifying Spanning Trees
- Minimum Spanning Trees 1
- Minimum Spanning Trees 2
- Shortest Path 1
- Shortest Path 2