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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

Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions