L1.3 - Construction Techniques 1: Perpendicular Bisector
Learning Intentions and Success Criteria
We are learning to:
- Comprehend that a perpendicular bisector is the set of points equidistant from two given points.
- Construct a perpendicular bisector.
- Construct a perpendicular bisector.
- Understand what is special about the set of points equidistant from two given points.
3.1: Find All the Points!
Here are 2 points labeled A and B, and a line segment CD.
- Mark 5 points that are a distance CD away from point A. How could you describe all points that are a distance CD away from point A?
- Mark 5 points that are a distance CD away from point B. How could you describe all points that are a distance CD away from point B?
- In a different color, mark all the points that are a distance CD away from both A and B at the same time.
1.
2.
3.2: Human Perpendicular Bisector
Your teacher will mark points A and B on the floor. Decide where to stand so you are the same distance from point A as you are from point B. 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.
3.3: How Well Can You Slice?
Use the tools available to find the perpendicular bisector of segment PQ. After coming up with a method, look for another method to find its perpendicular bisector.
Learning Intentions and Success Criteria
We are learning to:
- Comprehend that a perpendicular bisector is the set of points equidistant from two given points.
- Construct a perpendicular bisector.
- Construct a perpendicular bisector.
- Understand what is special about the set of points equidistant from two given points.
Cool-down: Walk the Line
Imagine that you must cross the hallway while staying an equal distance from each laser. If you get closer to one laser than the other, it will blast you. Use the tools available to draw a safe path through the hallway.
Here is a hallway with lasers:
