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How many constructions are to be done for HL Maths?

  • 09-02-2019 05:19PM
    #1
    noubliezjamais
    Registered Users, Registered Users 2 Posts: 253 ✭✭


    I'm wondering how many do I have to practice. Is there a link of all of them online? Thanks.


Comments

  • #2
    spurious
    Moderators, Category Moderators, Education Moderators, Paid Member Posts: 27,428 CMod ✭✭✭✭spurious


    The prescribed constructions are:
    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 given line, through given point.
    6. Division of a segment into 2, 3 equal segments, without measuring it.
    7. Division of a segment into any number of equal segments, without measuring it.
    8. Line segment of given length on a given ray.
    9. Angle of given number of degrees with a given ray as one arm.
    10. Triangle, given lengths of three sides.
    11. Triangle, given SAS data.
    12. Triangle, given ASA data.
    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.
    16. Circumcentre and circumcircle of a given triangle, using only straightedge and compass.
    17. Incentre and incircle 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.
    22. Orthocentre of a triangle.

    (From)Syllabus for LCHL
    13.1 Constructions
    A knowledge of the constructions prescribed for JC-HL will be assumed,
    and may be examined. In addition, students will study the constructions
    prescribed for LC-OL, and construction 22.

    You might run that past a Maths teacher, in case I misread the documents.


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