How To Construct Parallel Lines With A Compass And Straightedge

Draw points at each end of your line.

How to construct parallel lines with a compass and straightedge. Rotate to landscape screen format on a mobile phone or small tablet to use the mathway widget a free math problem solver that answers your questions with step by step explanations. How to construct a parallel line through a point step 1. This page shows how to construct a line parallel to a given line through a given point with compass and straightedge or ruler. Label the points of your line anything you like.

Hide ads about ads. Parallel line through a point by triangles how to construct a parallel line through a point by triangles using just a compass and a straightedge. Begin by drawing a line or ray or line segment horizontally on your paper relative to you. These points of intersection are equidistant from the original point.

The following video shows how to construct parallel lines using compass and straightedge given a line and a point not on that line. It is called the angle copy method because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. Draw a line from where these two meet to the original point the red arrow marks this. This page shows how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler.

It uses this in reverse by creating two equal corresponding angles it can create the parallel lines. Place the stylus of the compass on the point and swing the compass down to make two marks on the line. This construction works by creating a rhombus. The letters are unimportant except to identify your line.

Since we know that the opposite sides of a rhombus are parallel then we have created the desired parallel line.