Geometric Constructions Junior Cert

1. Bisector of a given 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 a 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 three sides (SSS)

11. Triangle, given side angle side (SAS)

12. Triangle, given angle side angle (ASA)

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

14. Right-angled triangle, given one side and one of the acute angles (several cases).

15. Rectangle, given side lengths.