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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
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.
What is a network in geometry?
Which of the following best describes a planar network? (1) A network that can be drawn without edges crossing, (2) A network with no cycles, (3) A network with all vertices of degree 2, (4) A network with only one vertex.
Which of the following is a cycle in a network? (1) A path that starts and ends at the same vertex, (2) A path that visits every vertex, (3) A path with no repeated edges, (4) A path with no repeated vertices.
Which of the following is a necessary condition for a network to have an Eulerian circuit? (1) All vertices have even degree, (2) All vertices have odd degree, (3) The network is disconnected, (4) The network has a cycle.
Which of the following is NOT a characteristic of a tree? (1) It is connected, (2) It has no cycles, (3) It has more edges than vertices, (4) It is a type of network.
A network is called ______ if it can be drawn on a plane without any edges crossing.
A network is said to be ______ if there is no path between at least one pair of vertices.
Fill in the blank: A network in which every pair of vertices is connected by exactly one edge is called a ______ network.
Fill in the blank: A network with no cycles is called a ______.
A network has 4 vertices and 3 edges. Is it possible for this network to be a tree?
True or False: A Hamiltonian path visits every vertex exactly once.
True or False: A network with 4 vertices and 6 edges must be planar.
True or False: A network with a cycle cannot be a tree.