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Lesson 11.2 Taxicab Geometry

- Mac Christian, Thomas Hodge, Shelby Lane, Paige

McNeill

Taxicab Geometry

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

(No Transcript)

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

Different Arrangements

- In Euclidean geometry, just one minimum distance

pathway

Taxicab circle

- all the points the same distance from the center,

but the points must be on an intersection - p 4

Pi circumference/diameter Circumference

16 Diameter 4

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

Homework

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

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