Question

To construct a line through point X that is parallel to line r using a compass and straightedge, you can follow these steps:

Place the compass point on point X.
Adjust the compass width to be greater than half the distance between point X and line r.
Draw two arcs intersecting line r. These arcs should be roughly equidistant from point X on either side.
Draw a straight line through point X and the intersection points of the arcs. This line will be parallel to line r.
Unfortunately, I can't provide a visual representation here, but you can follow these steps with a compass and straightedge to construct the parallel line.

Answer 1

To construct a line through point X that is parallel to line r, use a compass and straightedge. Place the compass point on point X, adjust the width, draw arcs intersecting line r, and then draw a straight line through point X and the intersection points of the arcs.

Step-by-step explanation:

To construct a line through point X that is parallel to line r, you can use a compass and straightedge. First, place the compass point on point X and adjust the width to be greater than half the distance between point X and line r. Then, draw two arcs intersecting line r, making sure they are equidistant from point X on either side. Finally, draw a straight line through point X and the intersection points of the arcs, which will be parallel to line r.