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Constructing a Parallel Line Through a Point Off the Given Line

This guide provides a step-by-step process for constructing a parallel line through a point that is not on the original line. Using a compass and a ruler, you will learn how to accurately mark and draw the parallel line. Begin by marking a point close to the existing line, then set your compass to reach the line and create arcs to define the new line's position. Finally, join the top points of the arcs with a straight edge to complete the parallel line, ensuring it is equidistant from the original line throughout.

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Constructing a Parallel Line Through a Point Off the Given Line

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  1. Parallel Line through Point A Aim: Construct a parallel line through a point off the line P Rule a line Mark a point near the line (Leave some space on either side of the line

  2. Aim: Construct a parallel line through a point off the line Compass point P Set your compass to just reach the line

  3. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line Keep compass the same & Arc into space P Compass point

  4. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line Keep compass the same & Arc into space P Compass point

  5. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line Keep compass the same & Arc into space P Compass point

  6. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line Keep compass the same & Arc into space P Compass point

  7. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line P Repeat

  8. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line P Repeat

  9. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line Rule a line to join the top of the arcs P

  10. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line Rule a line to join the top of the arcs P

  11. Parallel Line through a Point A Aim: Construct a parallel line through a point off the line P The lines will be parallel

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