Students will explore three situations involving distances between points and lines. First, the minimum distance between two points leads to the Triangle Inequality Theorem.
Then, the shortest distance from a point to a line is investigated.
Finally, students find the smallest total distance between two points on one side of a line and a point on the line.
Before the Activity
If needed, use the file "Getting Started TI-Nspire" for an introduction to the features of the device.
During the Activity
The file "Shortest_Distances" is the teacher file with background information and step-by-step directions.
The file "Shortest_Distances_Worksheet" is the student worksheet.
The file "Shortest_Distances.tns" is the TI-Nspire file.