taxicab geometry. uses a graph and the movement of a taxi uses the legs of the resulting right...

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Taxicab Taxicab Geometry Geometry

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Page 1: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

TaxicabTaxicabGeometryGeometryTaxicabTaxicab

GeometryGeometry

Page 2: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

•Uses a graph and the movement of a taxi

•Uses the legs of the resulting right triangle to find slope, distance, and midpoint.

Page 3: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

Slope

run

risem

Page 4: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

• 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

Page 5: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

Distance

Use Pythagorean Theorem

Page 6: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

• 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

Page 7: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

Midpoint

Use the Half Rule

Page 8: Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint

• 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