Constructing a Parallel line through a point not on the line
- Author:
- Arthur Walters
Here you will learn to construct a line parallel to our given line through a point that is not on the line. Use your compass and straightedge and if you get lost you can click the boxes to see each step.
make sure to measure and confirm that you truly have created parallel lines
written steps:
0) Construct Ray AC
1) Construct circle centered at point A with radius AB, mark the intersection of the circle with ray AC, call it point D
2) Copy circle with radius AB and center it at point C, mark the intersection of the circle with ray AC, call it point F
3)Construct a circle centered at point B with radius BD
4) Copy circle with radius BD and center it at point F.
5) Find the intersection of the circles centered at point F and point C. mark the intersections as point H
6) construct ray CH
Measure <HCF and <BAD to ensure the angles are the same proving the two rays are parallel