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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 `A``=` (2)`(ii)` Degree of Vertex `D``=` (3)`(iii)` Number of Vertices with `\text(Degree) 4``=` (3)
Hint
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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 `2` edges connected to vertex `A`. Therefore, the degree of vertex `A` is `2`.`(ii)` Degrees of Vertex `D`Count the edges connecting to vertex `D`.
There are `3` edges connected to vertex `D`. Therefore, the degree of vertex `D` is `3`.`(iii)` Vertices with `\text(Degree) 4`Get the degrees of all the vertices and count how many vertices has `4` edges connecting to them.
The vertices `B`, `E`, and `F` all have `4` edges connecting to them. Therefore, there are `3` vertices that are `\text(degree) 4`.`(i)` Degree of `A=2``(ii)` Degree of `D=3``(iii)` Vertices with `\text(Degree 4)=3` -
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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 `A``=` (3)`(ii)` Degree of Vertex `B``=` (3)`(iii)` Degree of Vertex `C``=` (2)`(iv)` Degree of Vertex `D``=` (4)`(v)` Degree of Vertex `E``=` (2)
Hint
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Correct!
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 `3` edges connected to vertex `A`. Therefore, the degree of vertex `A` is `3`.`(ii)` Degrees of Vertex `B`Count the edges connecting to vertex `B`.
There are `3` edges connected to vertex `B`. Therefore, the degree of vertex `B` is `3`.`(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)` Degrees of Vertex `D`Count the edges connecting to vertex `D`.
There are `4` edges connected to vertex `D`. Therefore, the degree of vertex `D` is `4`.`(v)` Degrees of Vertex `E`Count the edges connecting to vertex `E`.
There are `2` edges connected to vertex `E`. Therefore, the degree of vertex `E` is `2`.`(i)` Degree of `A=3``(ii)` Degree of `B=3``(iii)` Degree of `C=2``(iv)` Degree of `D=4``(v)` Degree of `E=2` -
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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 `P``=` (2)`(ii)` Degree of Vertex `Q``=` (4)`(iii)` Degree of Vertex `R``=` (2)`(iv)` Degree of Vertex `S``=` (2)
Hint
Help VideoCorrect
Keep Going!
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 `2` edges connected to vertex `P`. Therefore, the degree of vertex `P` is `2`.`(ii)` Degrees of Vertex `Q`Count the edges connecting to vertex `Q`.
There are `4` edges connected to vertex `Q`. Therefore, the degree of vertex `Q` is `4`.`(iii)` Degrees of Vertex `R`Count the edges connecting to vertex `R`.
There are `2` edges connected to vertex `R`. Therefore, the degree of vertex `R` is `2`.`(iv)` Degrees of Vertex `S`Count the edges connecting to vertex `S`.
There are `2` edges connected to vertex `S`. Therefore, the degree of vertex `S` is `2`.`(i)` Degree of `P=2``(ii)` Degree of `Q=4``(iii)` Degree of `R=2``(iv)` Degree of `S=2` -
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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 `A``=` (4)`(ii)` Degree of Vertex `B``=` (2)`(iii)` Degree of Vertex `C``=` (5)`(iv)` Degree of Vertex `D``=` (2)`(v)` Degree of Vertex `E``=` (1)
Hint
Help VideoCorrect
Fantastic!
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 `2` edges connected to vertex `B`. Therefore, the degree of vertex `B` is `2`.`(iii)` Degrees of Vertex `C`Count the edges connecting to vertex `C`.
Notice that there is a loop connected to vertex `C`.
A loop consists of `2` edges. Therefore, there are a total of `5` edges connected to vertex `C`. Therefore, the degree of vertex `C` is `5`.`(iv)` Degrees of Vertex `D`Count the edges connecting to vertex `D`.
There are `2` edges connected to vertex `D`. Therefore, the degree of vertex `D` is `2`.`(v)` Degrees of Vertex `E`Count the edges connecting to vertex `E`.
There is `1` edge connected to vertex `E`. Therefore, the degree of vertex `E` is `1`.`(i)` Degree of `A=4``(ii)` Degree of `B=2``(iii)` Degree of `C=5``(iv)` Degree of `D=2``(v)` Degree of `E=1` -
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