Question

you are given the steps for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line. arrange the steps in the proper sequence.tiles draw an arc cutting the given line at twopoints.without changing the compass width,move the compass needle to q and drawanother arc below the line crossing theprevious arc.mark and label the points of intersection pand q.place the compass needle on the externalpoint r.move the compass needle to p and makean arc below the line.mark and label the point of intersection s.make the compass width greater than thedistance from r to the given line.draw a line from the external point r tothe point where the arcs intersect, s. liners is perpendicular to line pq andpasses through the external point r.

Answer 1

1) place the compass needle on the external point r.

2) make the compass width greater than the distance from r to the given line.

3) draw an arc cutting the given line at two points.

4) mark and label the points of intersection p and q.

5) without changing the compass width, move the compass needle to q and draw another arc below the line crossing the previous arc.

6) move the compass needle to p and make an arc below the line.

7) mark and label the point of intersection s.

8) draw a line from the external point r to the point where the arcs intersect, s.

9) line rs is perpendicular to line pq and passes through the external point r.