## RWA Distance Between Two Points

### Topic

Taxi Cab Geometry

### Vocabulary

- Distance
- Points
- Taxicab Geometry

### Student Exploration

#### Euclid is known as the “Father of Geometry”. Are you tired of Euclid’s way of doing things?

Try Taxi Cab Geometry.

“Three real life situations are proposed in Eugene F. Kraus e's book Taxicab Geometry. First a dispatcher for Ideal City Police Department receives a report of an accident at

What makes these problems interesting is that we want to solve them not as a "crow flies” (diagonally), but with the constraints that we have to stay on city streets. This means the distance formula that we are accustomed to using in Euclidean geometry will not work. Fortunately there is a non Euclidean geometry set up for exactly this type of problem, called taxicab geometry. This system of geometry is modeled by taxicabs roaming a city whose streets form a lattice of unit square blocks” Read More ... http://www.math.umt.edu/tmme/vol2no1/TMMEv2n1a5.pdf

Learn more!

http://demonstrations.wolfram.com/TaxicabGeometry/

### Extension Investigation

- Taxicab Treasure Hunt - http://www.learner.org/teacherslab/math/geometry/shape/taxicab/
- Taxi Cab Goemtry Explorations -