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

TaxicabTaxicabGeometryGeometryTaxicabTaxicab

GeometryGeometry

•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

• 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

Distance

Use Pythagorean Theorem

• 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

Midpoint

Use the Half Rule

• 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