Leaving Cert. Maths Construction Video Tutorials

Leaving Cert. Maths Construction Video Tutorials

Angle Bisector

Perpendicular Bisector of Line Segment

Perpendicular through point not on line

Perpendicular through point on line

Line parallel to given line through a point

Division of segment into 2 or 3 equal parts

Division into any number of parts

Segment of given length, on given ray

Angle

Triangle SSS

Triangle SAS

Triangle ASA

Triangle RHS


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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