Education Technology

Perpendicular Bisector Theorem

Activity Overview

This activity uses distance measures to investigate the relationship between a point in the plane and the distance to the endpoints of a segment. Students will investigate the implication these relationships have for the position of the point in the plane.

Before the Activity

  • Install the Cabri: Jr. App on the students' graphing calculators using TI-Connect™, a TI Connectivity Cable and the Unit-to-Unit Link Cable
  • Use the TI-Navigator™ to transfer the attached Cabri Jr. AppVar files to each calculator
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 23 - 24 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:

  • Construct a segment, its perpendicular bisector, and a point not on the segment
  • Observe the relationship between the distance of the point from the endpoints of the segment, when the point is at various locations both on and off the perpendicular bisector
  • After the Activity

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary