Constructions Made Easy

The current syllabus for Higher Level Junior Certificate Maths requires you to be familiar with a number of constructions. The complete list of required constructions is as follows:

  • Triangles
  • Bisect an angle
  • Perpendicular bisector of a line segment
  • Circumcircle of a triangle
  • Incircle of a triangle
  • Divide a line segment into a number of equal parts

You will find links to animated step-by-step instructions, as well as printer-friendly guides, for all of the above constructions on the Math Open Reference Constructions webpage. 


While there are number of other online construction tutorials, I especially like this website’s tutorials in that the authors use an animated compass and straight edge to show proper positioning when drawing arcs, circles and lines.  

You’ll note that in the “Divide a line segment into a number of equal parts” tutorial, the author uses a different approach as to what is often presented in math textbooks here in Ireland. Feel free to use the construction method you are most comfortable with.

Congratulations to the team at Math Open Reference for putting together such an excellent resource!