Leaving Cert Ordinary Level Maths Constructions

The Leaving Cert Ordinary Level Maths Constructions course contains 19 geometry constructions, 13 of which you will have already covered in Junior Cert constructions.

Some of these first 13 form the basic steps of the more advanced constructions, so it is important to master these first.  When you are comfortable with constructions 1 to 13, you can move on to the remaining 6 constructions which are required for the Leaving Cert Ordinary course.

Geometry constructions have been examined almost every year in the Ordinary Level Maths Leaving Certificate exam.  If you are aiming for a high grade, you can’t afford to neglect this part of the course, as this will help you in your maths exam paper.

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

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Here’s the full list of LCO 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

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

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

16 – Circumcentre and circumcircle of a given triangle, using only straight edge and compass

17 – Incentre and incircle of a triangle of a given triangle, using only straight edge and compass

18 – Angle of 60⁰ without using a protractor or set square

19 – Tangent to a given circle at a given point on it

20 – Parallelogram, given the length of the sides and the measure of the angles

21 – Centroid of a triangle

See below for our demonstration videos showing you exactly how to do them.

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

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All 19 Constructions for Leaving Cert Ordinary Level Maths Constructions

Full Playlist – all 19 videos 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

 

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 [7 Not on Ordinary Level]

 

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

 

16 – To construct the circumcentre and circumcircle of a given triangle.

 

17 – To construct the in-centre and in-circle of a given triangle.

 

18 – Use this interactive file to construct an angle of 60 degrees.

 

19 – Use this file to learn to construct the tangent to a circle at a given point on it.

 

20 – Use this file to learn to construct a parallelogram, given the length of sides and the measure of the angles.

 

21 – Use this file to learn to construct the centroid of a triangle.