There are a few ways to construct lines that are parallel to each other. This method is going to construct a pair of parallel lines by starting with a line and point for the constructed line to pass through. This method is called the angle copy method as it uses corresponding angles to create the parallel lines.
We can also construct a set of parallel lines using dynamic geometry software. Press the pause/play button in the applet below to see the steps of the construction in action. To test the construction, move the points around to see that the lines are always parallel.
Now it's your turn! Repeat the steps for construction to construct your own set of parallel lines. Click here to open the applet in a larger web browser window.
Move Tool | Point Tool | Line Tool | Line Segment Tool | Compass Tool | Polygon Tool |
Use the point tool to label the intersection of circle D and \overleftrightarrow{AB}. Label the point G.
Select the compass tool create a circle with radius equal to GE and center at F.
Using the point tool, label the intersection of circle F and circle C. Call it point H.
Use the line tool to draw a line through points H and C. This line is parallel to \overleftrightarrow{AB}.
Be sure to save your construction often, especially if you would like to come back to it at a later time. If you refresh this page before saving, your work will be lost.
Make, justify, and apply formal geometric constructions.