From each point P,Q, draw an arc below the line so that the arcs cross.
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| After doing this | Your work should look like this | |
|---|---|---|
| Start with a line and point R which is not on that line. | |
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| Step 1 | Place the compasses on the given external point R. | |
| Step 2 | Set the compasses' width to a approximately 50% more than the distance to the line. The exact width does not matter. | |
| Step 3 | Draw an arc across the line on each side of R, making sure not to adjust the compasses' width in between. Label these points P and Q | |
| Step 4 | At this point, you can adjust the compasses' width. Recommended: leave it as is. From each point P,Q, draw an arc below the line so that the arcs cross. |
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| Step 5 | Place a straightedge between R and the point where the arcs intersect. Draw the perpendicular line from R to the line, or beyond if you wish. | |
| Step 6 | Done. This line is perpendicular to the first line and passes through the point R. It also bisects the segment PQ (divides it into two equal parts) | |