## Taxi-Distance Tool

The following are the steps necessary to create a custom tool in Geometer’s Sketchpad that will enable the user to calculate the taxicab distance between two given points:

1. In a new sketch, graph any two points

2. Select

3. Construct a line through

4. Construct a line perpendicular to the line in the above step that passes through point

5. Calculate the distances for

6. Hide everything except

1. In a new sketch, graph any two points

*A*and*B*.2. Select

*A*. From the**Transform**dropdown menu, select**Translate**. Keep the fixed distance at 1.0 cm and change the fixed angle to 0 degrees. This creates the point*A’*that translates point*A*horizontally to the right 1.0 cm.3. Construct a line through

*A*and*A’*.4. Construct a line perpendicular to the line in the above step that passes through point

*B*. Label the intersection of these two lines as*C*. Hide all of the objects except points*A*,*B*, and*C*.5. Calculate the distances for

*AC*,*AB*, and*BC*. Then calculate*AC*+*BC*. This is the taxicab distance between*A*and*B*. For the sake of constructing the tool, change the label from “*AC*+*BC*” to “Taxicab Distance” or whatever label is most helpful.6. Hide everything except

*A*,*B*, and the*Taxicab Distance*. The user may now create the custom tool. taxidist_tool.gsp | |

File Size: | 4 kb |

File Type: | gsp |