Networks in Geometry
Math ⇒ Geometry
Networks in Geometry starts at 9 and continues till grade 12.
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See sample questions for grade 11
A network has 10 vertices and 15 edges. Using Euler's formula for planar networks, what is the maximum number of regions it can have?
A network has 4 vertices, each connected to every other vertex. How many edges does it have?
A network has 6 vertices and 7 edges. If it is planar, how many regions does it have?
A network has 6 vertices and 9 edges. If it is connected and planar, what is the maximum number of regions it can divide the plane into?
A network has 7 vertices and 10 edges. If it is planar, how many regions does it have?
A network has 9 vertices and 12 edges. If it is planar, how many regions does it have?
Describe the difference between a path and a cycle in a network.
Describe the process of finding the shortest path in a weighted network.
Describe what is meant by a weighted network.
Explain the difference between a directed and an undirected network.
Explain the difference between a tree and a cycle in a network.
Explain the significance of Euler's formula in planar networks.
Explain what is meant by a planar network.
Explain why a network with all vertices of odd degree cannot have an Eulerian circuit.
If a network has 12 edges and each vertex has degree 3, how many vertices does it have?
If a network has 8 vertices and each vertex is connected to 3 others, how many edges are there in total?
What is a network in geometry?
