6.1: Perpendicular Bisector
This activity is intended to supplement Geometry, Chapter 5, Lesson 2.
Problem 1 – Exploring the Perpendicular Bisector Theorem
Start the Cabri Jr. application by pressing APPS and selecting CabriJr. Open the file PERBIS by pressing
Line
1. Move point
Position 








2. What is the relationship between the measurements of
3. Make a conjecture based on your results above about a point on the perpendicular bisector and the endpoints of a segment.
Problem 2 – An Application of the Perpendicular Bisector Theorem
John and Jane are a young college graduate couple who are relocating to a new city. They have jobs at separate locations, but work out at the same gym. They would like to buy a house that is equidistant from their jobs and gym. They use the map below and see that John’s workplace is located at
Open the Cabri Jr. file POINTS. Three points are plotted: ordered pair (1, 3.5) represents
 Use Perpendicular Bisector Theorem to decide where John and Jane should live.
 Using the map’s notation, where should the young couple live?