Voronoi DiagramsA variety of questions about Voronoi Diagrams presented in a selfmarking, online exercise. 
This is level 1: general questions about a diagram of a rectangular shaped island. You can earn a trophy if you get at least 7 questions correct and you do this activity online.
This is a diagram of Oblong Island which, amazingly, is in the shape of a rectangle. Any location on the island can be defined by a set of coordinates.
There are seven camping sites on the island labelled A to G.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" 
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AnswersThere are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy adfree access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe 

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Perpendicular Bisector  A stepbystep guide showing how to construct the perpendicular bisector of a line segment. This skill can then be used to construct a Voronoi Diagram.
Printable Worksheet: Get a real 'feel' for Voronoi diagrams with this resource on which you can draw Voronoi diagrams using the good, oldfashioned compasses, pencil and ruler method.
Level 1  General questions about a diagram of a rectangular shaped island.
Level 2  Questions involving the vocabulary and mathematics of Voronoi diagrams.
Level 3  Find the coordinates of the missing sites in ten Voronoi Diagrams.
Level 4  Define a region on a Voronoi Diagrams by finding the equations of the edges.
Exam Style Questions  A collection of problems in the style of IB exam paper questions.
More on Loci including lesson Starters, visual aids, investigations and selfmarking exercises.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
The video above is from Revision Village.
Sites: These are the important locations from which the positions of the lines of the Voronoi diagram are calculated.
Cells: These are the areas that surround the sites and contain the points which are closer to that site than to any other site. The cells are labelled according to the site which they contain. They are also known as regions.
Edges: These are the borders between the cells. They are the lines showing the points equidistant from pairs of sites.
Vertices: A vertex is the point at which three or more edges meet. Each vertex is equally close to the sites whose cells meet at that vertex. They can also be called intersections.
Nearest Neighbour interpolation is a simple method of estimating the value of a variable at any point by using the variable's value at the nearest site.
Toxic Dump Problem: This problem can be described as finding the optimal position for a toxic waste dump, so as to maximise its distance from the nearest town. If not on the border of the diagram the location will always be at one of the vertices.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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