Final answer:
To start constructing perpendicular lines with a compass and straightedge, draw a straight line and use a compass to create intersecting arcs from the line, then draw a straight line through the intersections.
Step-by-step explanation:
When constructing perpendicular lines with a compass and straightedge, typically you should start by drawing a straight line that will represent one of the lines you want to be perpendicular to. Then, you use the compass to create two arcs from two points on the line. These arcs should intersect in two places above and below the line. A straight line through the points of intersection of these arcs will be perpendicular to the original line. This method ensures that the angle between the lines is 90 degrees.