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Networks in Geometry

Math ⇒ Geometry

Networks in Geometry starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Networks in Geometry. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 9
A network has 5 vertices, each of degree 2. How many edges does the network have?
A network has 8 vertices and 12 edges. If each edge connects two different vertices, what is the average degree of the vertices?
A network has 9 vertices and 12 edges. If it is planar and connected, how many faces does it have according to Euler's formula?
Describe a real-world example where a geometric network can be used.
Describe how networks in geometry can be used to solve real-life problems such as transportation or communication.
Describe the difference between a directed and an undirected network.
Explain the difference between a path and a cycle in a network.
Explain the significance of Euler's formula for planar networks.
Explain what is meant by a connected network.
Explain why a network with all vertices of odd degree cannot have an Eulerian circuit.
If a network has 10 vertices and is a tree, how many edges does it have?
If a network has 12 edges and each vertex has degree 3, how many vertices does it have?
If a network has 6 vertices and 9 edges, what is the sum of the degrees of all vertices?
If a network has 7 vertices and is a tree, how many edges does it have?
What is a network in geometry?