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

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