Given point R, not on line k, construct a line through R, perpendicular to k.
1. Begin with point line k and point R, not on the line. |
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2. Place the compass on point R. Using an arbitrary radius, draw arcs intersecting line k at two points. Label the intersection points X and Y. |
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3. Place the compass at point X. Adjust the compass radius so that it is more than (1/2)XY. Draw an arc as shown here. |
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4. Without changing the compass radius, place the compass on point Y. Draw an arc intersecting the previously drawn arc. Label the intersection point B. |
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5. Use the straightedge to draw line RB. Line RB is perpendicular to line k. |