IM Geo.1.3 Lesson: Construction Techniques 1: Perpendicular Bisectors
Here are 2 points labeled A and B, and a line segment CD:
Mark 5 points that are a distance away from point . How could you describe all points that are a distance away from point ?
Mark 5 points that are a distance away from point . How could you describe all points that are a distance away from point ?
In a different color, mark all the points that are a distance away from both and at the same time.
Your teacher will mark points A and B on the floor.
Decide where to stand so you are the same distance from point as you are from point . Think of another place you could stand in case someone has already taken that spot.
After everyone sits down, draw a diagram of what happened.
In this activity, we thought about the set of points on the floor—a two-dimensional plane—that were equidistant from two given points A and B.
What would happen if we didn’t confine ourselves to the floor?
Start with two points and in three-dimensional space. What would the set of points equidistant from and look like?