1. Taxicab Geometry

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

3. Slope

4. 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

5. Distance Use Pythagorean Theorem

6. 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

7. Midpoint Use the Half Rule

8. 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