Open Middle Perpendicular Bisector Problem

Directions:

In the app below, reposition the four points so that
  • The dashed line is perpendicular to the segment
  • The dashed line bisects the segment
  • No coordinate repeats
You can press the check button to see how well your setup satisfies the first two criteria. An "x" means at least one coordinate repeats. A check mark indicates no coordinates repeat.

Algebraically show how your setup above satisfies the first two criteria.

Create another setup so that the slope of the segment and line are entirely different from the slopes of the segment and line from your setup above.

Algebraically show how your setup above satisfies the first two criteria.