# Leaving Cert. Maths Construction Video Tutorials

### List of constructions to know

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.
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 60 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.
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