Voronoi Diagrams

Which site is closest to (2,-3)?

• B

• A

• C

• D

• they are all equidistant

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which site is closest to (1,5)

• A

• B

• C

• D

• they are all equidistant

Tags

CCSS.8.G.B.8

Which site is closest to (-1,-2)?

• Equally close to C and D

• C

• D

• A

• Equally close to A and C

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.8

What can you say about the points which lie in the green cell?

• Closest to A

• Closest to B

• Closest to C

• Closest to D

• Closest to B and D

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

What can you say about the points on the blue edge?

• Equally close to C and D

• Closest to C

• Closest to D

• Furthest from A

• Equally close to A and C

What can you say about the red vertex (little red circle)?

• Closest to B

• Equally close to A and C

• Equally close to B and C

• Equally close to A, B and C.

• Closest to D

What is area of the cell containing site D?

• 32 units²

• 64 units²

• 44 units²

• 56 units²

• none of those

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GPE.B.7

The voronoi diagram shows the location of 4 post offices in a town. If someone lives at (4,-2),where should they collect their mail?

• B

• C

• D

• E

• E or C

The voronoi diagram shows the location of 4 post offices in a town. A new Post Office will be built equally distant from existing post offices A, B and E. What are the coordinates of the new post office?

• (0.6,2.6)

• (0,0)

• (0.4,2.4)

• (0,4)

• none of those

The voronoi diagram shows 4 schools and their catchment zones. Lily lives equally distant from schools A, C and D. Where does Lily live?

• (0,1)

• (2,0)

• (2,1.5)

• (3,6)

• none of those

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11