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Perplex
  • Dashboard
Topics
Exponents & LogarithmsRounding & ErrorSequences & SeriesFinancial Mathematics
Cartesian plane & linesFunction TheoryModelling
2D & 3D GeometryVoronoi Diagrams
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegration
Calculator Skills
Review VideosFormula BookletAll Study Sets
BlogLanding Page
Sign UpLogin
Perplex
IB Math AISL
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Voronoi Diagrams
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Problem Bank
IB Math AISL
/
Voronoi Diagrams
/
Problem Bank

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[Maximum mark: 6]

The Voronoi diagram below shows three islands ​I1,I2​ and ​I3. A fourth island, ​I4​ is located somewhere in the shaded region.

A ship in the shaded region is heading towards the nearest island to refuel.

  1. State and explain which island it heads towards.

    [1]
    1 free

Island ​I1​ has coordinates ​(−9,−1), and the edge ​AB​ has the equation ​x=−2.

  1. Determine the coordinates of island ​I3.

    [2]

The island ​I2​ has coordinates ​(−5,−9).

  1. Find the gradient of the edge between ​I1​ and ​I2.

    [3]
[Maximum mark: 6]

The Voronoi diagram below shows three islands ​I1,I2​ and ​I3. A fourth island, ​I4​ is located somewhere in the shaded region.

A ship in the shaded region is heading towards the nearest island to refuel.

  1. State and explain which island it heads towards.

    [1]
    1 free

Island ​I1​ has coordinates ​(−9,−1), and the edge ​AB​ has the equation ​x=−2.

  1. Determine the coordinates of island ​I3.

    [2]

The island ​I2​ has coordinates ​(−5,−9).

  1. Find the gradient of the edge between ​I1​ and ​I2.

    [3]