How to...construct a perpendicular line to a line segment with a point that is on the line segment

Constructing a perpendicular line segment with a point that is on the line segment it less complicated than constructing a perpendicular line segment with a point that is not on the line.

Step 1
First, make a circle of any size using the point on your line segment as the center point. Make and label points where the circle intersects the line segment.




Step 2
Next, you measure a little bit more than 1 and a half of your circle's radius from one of the points you just made, and make a very large arc, almost a circle. Now, using this same measure, do the same thing at the other point that you just made.
Make and label points where the two arcs intersect. Connect these last two points that you just made to form a line segment. label the midpoint.

**Don't forget to label all points, including the midpoint**