The similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line include:
Both methods involve making a 90-degree angle between two lines.
The methods determine a point equidistant from two equidistant points on the line.
<h3>What are perpendicular lines?</h3>
Perpendicular lines are defined as two lines that meet or intersect each other at right angles.
In this case, both methods involve making a 90-degree angle between two lines and the methods determine a point equidistant from two equidistant points on the line.