Taxicab Geometry

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TaxicabGeometry
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• Uses a graph and the movement of a taxi
• Uses the legs of the resulting right triangle to
  find slope, distance, and midpoint.

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Slope

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• Finding Slope Using Taxicab
• Plot the two points
• Draw a line segment connecting the two points
• Create the right triangle by adding the two legs
• Count the spaces for each leg and write them on
  the picture
• Determine if the slope is positive or negative
• Write m (the ratio comparing the rise to the
  run)
• Reduce if necessary

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Distance

• Use
• Pythagorean
• Theorem

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• Finding Distance Using Taxicab
• A. Plot the two points
• B. Draw a line segment connecting the two points
• C. Create a right triangle by adding the two legs
• D. Count the spaces for each leg and write them
  on the picture
• E. Write the Pythagorean Theorem
• F. Substitute in the given values
• G. Solve for the unknown

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Midpoint

• Use
• the Half
• Rule

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• Finding Midpoint Using Taxicab
• A. Plot the two points
• B. Draw a line segment connecting the two points
• C. Create a right triangle by adding the two legs
• D. Count the spaces for each leg and write them
  on the picture
• E. Find half the rise
• F. Find half the run
• G. This is the midpoint