Question

How easily can you construct parallel perpendicular lines using a compass and a straightedge

Answer 1

Use your straightedge to draw a line and a point like the one below. Then, construct a line through the point that is parallel to the original line. Solution: Start by using your straightedge to draw a line through the point that intersects the original line.

Answer 2

By bisecting the line with a compass and constructing with a straight edge

Explanation:

The first step is to construct the perpendicular line using a compass. This is done by drawing a horizontal line with a straight edge. Using one end of the compass, the pencil is placed about two-thirds of the line and a perpendicular bisector is drawn. The bisecting line is perpendicular to the horizontal line.

Afterwards, the straight edge is used to draw a parallel line. This is done by placing one end on the horizontal line and drawing the parallel line to the perpendicular bisector using the other straight end of the straightedge.