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Using a simple point completely above a horizontal line, it is completely possible to construct a perpendicular line using a compass (not a protractor). This article will help you construct this perpendicular line.

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EditSteps

  1. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 1.jpg
    1
    Draw a copy of the situation onto another piece of paper. You'll need a line, as well as a point separated off from the line.
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  2. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 2.jpg
    2
    Locate the point you drew.
  3. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 3.jpg
    3
    Use this point, to construct an arc that can intersect the line in at least two location.
  4. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 4.jpg
    4
    Label the two points of intersection where the arc crosses the line with two different points.
  5. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 5.jpg
    5
    Open the compass even further.
  6. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 6.jpg
    6
    Use each of these two points to construct two other arcs that intersect at a point immediately below the line.
  7. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 7.jpg
    7
    Place a point at their intersection formed.
  8. Construct a Perpendicular Line to a Given Line Through Point Outside the Line Step 8.jpg
    8
    Draw a line connecting the two non-intersecting points.
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EditRelated wikiHows

How to
Construct a Perpendicular Line to a Given Line Through Point on the Line

EditSources and Citations

  • Keenan, Edward P., Isidore Dressler, and Ann Gantert Xavier. Integrated Mathematics. New York, NY: Amsco School Publications, 1999. Print. (Course II, p.734)

Article Info

Categories: Compass Constructions

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