Activity Overview
Students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab perpendicular bisectors and discover that only certain pairs of points have taxicab perpendicular bisectors.
Before the Activity
Download the attached PDF and look over the information on the first page. Distribute the Student Worksheet and attached calculator files for use during the activity.
During the Activity
Discuss the material from the activity pages with students as needed.
After the Activity
Encourage students to summarize what they have learned from completing the activity.