Maths Junior Cert Higher Level Constructions

The Maths Junior Cert Higher Level Constructions Syllabus contains 15 geometry constructions.

Geometry constructions have been examined almost every year in the Junior Cert Higher exam.  If you are aiming for a high grade, you can’t afford to neglect this part of the course as this will surely help you in your maths exam papers.

For general guidance on how to learn and revise constructions, click here.

Here’s the full list of Junior Cert Higher Level Maths Constructions, and the demo videos are embedded below this.

1. Bisector of an angle, using only compass and straight edge
2. Perpendicular bisector of a segment, using only compass and straight edge
3. Line perpendicular to a given line l, passing through a given point not on l
4. Line perpendicular to a given line l, passing through a given point on l
5. Line parallel to given line, through a given point
6. Division of a line segment into 2, or 3 equal segments without measuring it
7. Division of a line segment into any number of equal segments without measuring it
8. Line segment of a given length on a given ray
9. Angle of a given number of degrees with a given ray as one arm
10. Triangle, given lengths of 3 sides
11. Triangle, given SAS data
12. Triangle, given ASA data
13. Right-angled triangle, given length of hypotenuse and one other side
14. Right-angled triangle, given one side and one of the acute angles
15. Rectangle given side lengths

See below for our demonstration videos showing you exactly how to do them on Junior Cert Constructions Worksheet.

If you need any further help or clarification, get in touch with us at any time!

All 15 Constructions for Junior Cert Maths Higher Level

Full Playlist – all 15 constructions on our YouTube channel

1 – Bisector of an angle, using only compass and straight edge

2 – Perpendicular bisector of a segment, using only compass and straight edge

3 – Line perpendicular to a given line l, passing through a given point not on l.

4 – Line perpendicular to a given line l, passing through a given point on l

5 – Line parallel to given line, through a given point

6 and 7 – Division of a line into 2, 3 or any number of equal segments without measuring it

8 – Line segment of a given length on a given ray

9 – Angle of a given number of degrees with a given ray as one arm

10 – Triangle, given lengths of 3 sides

11 – Triangle, given SAS data

12 – Triangle, given ASA data

13 – Right-angled triangle, given length of hypotenuse and one other side

14 – Right-angled triangle, given one side and one of the acute angles

15 – Rectangle given side lengths