How can you be sure that 2 line segments in a construction are the same length?
What is special about 2 radii of 2 same-size circles?
Two segments have the same length if they...
Constructing a perpendicular line through a point on another line is similar to constructing a perpendicular bisector. Briefly describe the important first step in constructing a perpendicular line through a point on another line. After this step (that you describe below) then the rest of the construction is identical to perpendicular bisector!