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Constructing a perpendicular at the end of a ray

This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.

See also the animated version.

  After doing this Your work should look like this
  Start with a given ray. Geometry construction with compass and straightedge or ruler or ruler
Step 1 Pick a point not on the line, about 6 cm from the endpoint of the ray. Its exact location is not important. Label it D. Geometry construction with compass and straightedge or ruler or ruler
Step 2 Set the compasses on point D and set its width to the endpoint of the ray. Geometry construction with compass and straightedge or ruler or ruler
Step 3 Draw an arc that crosses the ray and extends over and above the ray endpoint. (If you prefer, draw a complete circle.) Geometry construction with compass and straightedge or ruler or ruler
Step 4 Draw a diameter through D from the point where the arc crosses the ray. Geometry construction with compass and straightedge or ruler or ruler
Step 5 Draw a line from the ray's endpoint to the endpoint of the diameter line Geometry construction with compass and straightedge or ruler or ruler
Step 6 Done. The last line drawn is perpendicular to the ray. Geometry construction with compass and straightedge or ruler or ruler
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Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions