Perpendicular and Angle Bisectors
Exploration #1 - Points on a Perpendicular Bisector
In the applet below, there is a segment AB.
- CONSTRUCT a line that BISECTS the segment AB.
1. Describe your process.
How do you KNOW that it is bisecting the segment? When you move point A or point B is it still bisecting?
2. Make a Conjecture.
What do you think a PERPENDICULAR BISECTOR would look like? Can you create one in the above applet?
3. Make a conjecture.
Describe any relationships that you notice. Why do you think this is happening?
Exploration #2 - Points on an Angle Bisector
Using the applet below, there are two rays, AB and AC to form an angle
- CONSTRUCT the Angle Bisector of
4. Describe your process.
How do you KNOW that it is bisecting the angle? When you move point B or point C is it still bisecting the angle? Why?
In the Applet above....
- Add a NEW point D that is ON the angle bisector.
- Create 2 segments from points B and C to your new point D.
- Measure the length of segments BD and CD.
5. Make a conjecture.
Describe any relationships that you notice. Why do you think this is happening?