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Strand 2: Geometry and Trigonometry


Geometry

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Fundation Level
Picture
Ordinary and Higher Levels

Co-ordinate Geometry (Line & Circle)

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Fundation Level
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Ordinary and Higher Levels

Trigonometry

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Foundation Level
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Ordinary and Higher Levels

Enlargements

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Fundation Level
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Ordinary and Higher Levels

Appendix - Trigonometric Formulae


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Appendix - Constructions


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 (sev- eral 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. 
  22. Orthocentre of a triangle
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