Perpendicular Bisectors
- Author:
- Jill Alsman, Rachel Fruin
Perpendicular Bisectors
Part 1
1. Line CD is a perpendicular bisector of segment AB . Drag points A and B. Write a definition of perpendicular bisector based on your observations.
2. Click on: Show segments to the end points of segment AC. Drag point C. What can you say about any point on the perpendicular bisector?
Part 2
3. Click on: Show triangle.
4. Click on: Show 2nd perpendicular bisector.
5. If F is on the perpendicular bisector of EB, what points are F equidistant from?
6. Click on: Show congruent segments.
Part 3
7. Click on Show 3rd Perpendicular Bisector. What do you notice about the 3 perpendicular bisectors (red lines)?
8. Drag points A, B and E. Does your observation from #7 remain true?
9. Where is the intersection of the perpendicular bisectors of an acute triangle? right triangle? obtuse triangle?
10. Drag points C and F onto the intersection of the 3 perpendicular bisectors. What do you observe about the segments from the intersection to the vertices of the triangle (dotted lines)?
Write a conclusion about this lab.