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OL Maths

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  • 09-03-2016 5:47pm
    #1
    OnlyOptical
    Registered Users Posts: 23 ✭


    How many constructions do we need for OL maths?


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    #2
    skippy1977
    Registered Users Posts: 284 ✭✭skippy1977


    21 Constructions for Ordinary Level.

    You will have covered 1 to 15 at Junior Cert Level so 16-21 are specific to Leaving Cert Ordinary Level.

    From Syllabus
    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 straight-edge 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.


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    #3
    OnlyOptical
    Registered Users Posts: 23 ✭OnlyOptical


    Thanks Skippy for the quick reply


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    #4
    pinkbear
    Registered Users Posts: 176 ✭✭pinkbear


    Also (I believe) 22. Orthocentre of a triangle.

    Am I right?


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    #5
    skippy1977
    Registered Users Posts: 284 ✭✭skippy1977


    pinkbear wrote: »
    Also (I believe) 22. Orthocentre of a triangle.

    Am I right?

    No...not for OL...Higher Level must also learn 22 though.


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