AI (SL and HL) Voronoi Diagrams

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Questions 1 to 6

1. State the number of edges the Voronoi diagram has.

1 point

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2. State the number of sites the Voronoi diagram has.

1 point

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3. State the number of cells the Voronoi diagram has.

1 point

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4. State the number of vertices the Voronoi diagram has.

1 point

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5. Point P(1,5) is placed on the Voronoi diagram. Which site is P closest to?

1 point

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6. Point Q(1,2) is placed on the Voronoi diagram. Select the sites that this is equidistant from.

1 point

Questions 7 to 12

7. The point P is placed such that it will be closest to the site C only rather than any other site. Which of the following are possible correct coordinate of P?

1 point

P (11,-1)

P (4,1)

P (4,5)

P (3,-1)

P (7,5)

8. The point Q is placed such that it will be equidistant from D and F. Which of the following are possible location of Q?

1 point

Q (8,8)

Q (6,9)

Q (10,8)

Q (11,9)

Q (9,6)

9. One edge is the perpendicular of C and F. Find the equation of this edge.

1 point

y=5

x=5

x=10

y=10

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10. One of the edges is the perpendicular of B and E. Find the equation of this edge.

1 point

y=x+4

y=4x-1

y=4-4x

y=4-x

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11. The point R(10,5) is placed on a vertex. R is equidistant from which points?

1 point

Questions 12 to 20. The Voronoi diagram below shows the location of 7 fast food outlets in South London.

12. A hungry student is at location A(14,2). Which outlet is closest for her?

1 point

Wing Feast

Kickin Chicken

Chicken Republic

McChick's

Chick Pizz

Chicken King

Chicken Planet

Clear selection

13. A hungry student is at location B(2,10). Which outlet is closest for her?

1 point

Chick Pizz

Wing Feast

McChick's

Chicken Republic

Chicken Planet

Chicken King

Kickin Chicken

Clear selection

14. A hungry student is at location C(12,10). Which outlet is closest for her?

1 point

Chicken Planet

Chick Pizz

Chicken Republic

McChick's

Chicken King

Kickin Chicken

Wing Feast

Clear selection

15. Shelby is located at point D. Three outlets (Chicken Planet, McChick's, and Chick Pizz) are all the same distance from her. Find the coordinates of D.

1 point

D (5 1/2, 4)

D (10,10)

D (10, 1/2)

D (12,12)

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16. Neil lives at E(4,8). He lives there so that he has the choice of his 3 favourite restaurants all the same distance. One is Chick Pizz. How far is Neil from Chick Pizz?

1 point

5.23

4.47

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17. Neil lives at E(4,8). He lives there so that he has the choice of his 3 favourite restaurants all the same distance. One is Chick Pizz. What are the other two restaurants?

1 point

Wing Feast

Chicken Planet

Chicken Republic

McChick's

Kickin Chicken

Chicken King

18. Mo walks along a footpath which is given the equation x=10 on the diagram. Part of this path is equidistance from two outlets. If Mo wants to visit an outlet, what are the closest choices?

1 point

Chicken Republic

Wing Feast

Chicken King

Kickin Chicken

Chicken Planet

McChick's

Chick Pizz

19. Mo continues along the line x=10 and want more chicken, but he finds he is only closest to one outlet. Which outlet could he be closest to?

1 point

Kickin Chicken

Chicken Republic

McChick's

Chick Pizz

Wing Feast

Chicken Planet

Chicken King

20. The path that is equidistance from Chicken Planet (6,12) and McChicks (12,6) has which equation?

1 point

y=x+9

y=x

y=x-9

y=18-x

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