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Summary: Taxicab Geometry Worksheet Math 105, Spring 2010 Page 1
Taxicab Geometry Worksheets
Exploring Mathematics, Spring 2010
Day 1: Taxicab Distances
1. (a) Graph the points A = (1, 3), B = (1, -2), C = (-3, -1), and D = (0, 3).
(b) Now find the following distances in both Euclidean and taxicab geometries. Give
a decimal approximation to 2 decimal places.
Euclidean distance Taxicab distance
from A to B
from B to C
from C to D
(c) If you know the Euclidean distance between two points, does that tell you what
the taxicab distance is? Why or why not?
(d) If you know the taxicab distance between two points, does that tell you what the
Euclidean distance is? Why or why not?
Taxicab Geometry Worksheet Math 105, Spring 2010 Page 2
2. (a) Consider the points in the following graph:
AB
C
D
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