Question

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?

a) Drag the steps and drop them in order from start to finish.
b) Find point X and connect it to line r.
c) Draw a random line through point X.
d) Use a protractor to measure the angle between point X and line r.

Answer 1

To construct a line parallel to another, one must identify the reference line and a point, use a compass to draw arcs, measure distances between intersections, and then connect these points with a straightedge.

Step-by-step explanation:

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

1. Identify point X and line r.
2. Place the compass on a point A on line r, and draw an arc that crosses line r at two points B and C.
3. Without changing the compass width, place the compass on point X and draw an arc that intersects the line between X and point A.
4. Measure the distance between points B and C with the compass.
5. Place the compass on the intersection point (from step 3) and draw another arc that intersects the first arc drawn from point X.
6. Connect point X to the second intersection point with a straightedge. This will be the parallel line to line r.