Exploring Perpendicular Bisectors: Part 1
In the app below,
- Use the SEGMENT tool
to construct a segment with endpoints A and B. - Use the MIDPOINT tool
to construct the midpoint of this segment. It should be named C. - Use the PERPENDICULAR LINE
tool to construct a line perpendicular to segment that passes through the segment's midpoint C.
This line you've just constructed is said to be the PERPENDICULAR BISECTOR of the segment AC. Keep going: More directions appear below.
4. Use the POINT ON OBJECT 
tool to plot a point D on the perpendicular bisector.
5. Now construct segments and .
6. Now select the MOVE 
tool. Then select (highlight) segment
. Select the style bar icon (circle + triangle symbol in the upper right corner). Where it says "Aa", select Value. This will show its length. '
7. Repeat step (6), yet this time for segment
.
tool to plot a point D on the perpendicular bisector.
5. Now construct segments and .
6. Now select the MOVE tool. Then select (highlight) segment
. Select the style bar icon (circle + triangle symbol in the upper right corner). Where it says "Aa", select Value. This will show its length. '
7. Repeat step (6), yet this time for segment
. Now drag point D all along the perpendicular bisector of segment . What do you notice? Be specific!
Use the ANGLE TOOL 
to display . What is it? Why does it measure what it does?