You can use any of the methods described above. The axiom in non-Euclidian Geometry is that parallel lines intersect at infinity.

It doesn't matter if the point is on another line; technically, every point is on an infinite number of lines, even if no line is shown. It does not matter how wide you set the compass, as long as it can intersect the given line.

If these instructions are hard to follow, just experiment with the triangle, and you'll figure it out. To do this, open the compass a little wider. So use the given point and ignore the second given line. By continuing to use our site, you agree to our cookie policy.

The original line and the most recently made are parallel with each other. The re-posting of materials in part or whole from this site to the Internet is copyright violation and is not considered "fair use" for educators.

Set the width of the compass to the width of the first angle you created. Impressive publishing waterfall event. Using the same compass width, set the compass at the third vertex, and draw an arc that intersects the first arc you drew through the second vertex. Your reader, A.

SK Shiva Kumar Sep 16, 2016.

Compass Constructions. As shown at the right, you can also copy the angle below P and to its left, creating alternate interior angles and parallel lines. Draw the first angle. Reply Upvote. Construct a line segment on the perpendicular line 2 cm above C.

Thanks, it's an wonderful article. Help answer questions Learn more. Place AB along the second drawn line BC. Cookies make wikiHow better.

Then, construct a line perpendicular to CD and passing through D. The construction above shows the creation of congruent corresponding angles which make the lines parallel.

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