# Maths Junior Cycle Higher Level Constructions

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

Geometry constructions have been examined almost every year in the Junior Cycle 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 Cycle Higher Level Maths Constructions, and the demo videos are embedded below this.

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

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

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

#### All 15 Constructions for Junior Cycle 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

If you enjoyed our blog on Maths Junior Cycle Higher Level Constructions, be sure to check out our other blog on Junior Cycle Ordinary Constructions