Lesson 11'2: Taxicab Geometry

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Lesson 11.2 Taxicab Geometry

• Mac Christian, Thomas Hodge, Shelby Lane, Paige
  McNeill

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Taxicab Geometry

• Points can only be at intersections
• points are always integers
• Taxidistance smallest number of grid units

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(No Transcript)
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Theorems

• The taxidistance between (0,0) and (x,y) is x
  y
• The taxidistance between (x1,y1) and (x2,y2) is
  x1-x2 y1-y2

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Different Arrangements

• In Euclidean geometry, just one minimum distance
  pathway

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Taxicab circle

• all the points the same distance from the center,
  but the points must be on an intersection
• p 4

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Pi circumference/diameter Circumference
16 Diameter 4
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Activity

• Person leaves the room
• Class picks a point on the grid
• Person comes back in and starts trying to guess
  the point
• Class tells them the taxidistance to the point
  from the guess

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Homework

• Pg. 709 to 710
• problems 23 to 26 and 30 to 35