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Evgesh-ka
1 month ago
4

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.
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
4 0
1) Place the compass point on the external point r. 2) Adjust the compass span to exceed the distance from r to the given line. 3) Draw an arc that intersects the given line at two distinct points. 4) Label the intersection points as p and q. 5) Keeping the compass width unchanged, relocate to point q and create another arc below the line that crosses with the previous arc. 6) Move the compass to point p and draw an arc beneath the line. 7) Identify and label the intersection point as s. 8) Draw a line from the external point r to the intersection point s of the arcs. 9) The resultant line rs is perpendicular to line pq and extends through external point r.
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