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Geometric Foundations: Lines, Angles, Triangles, and Polygons · CSEC Technical Drawing

32 past-paper questions on Geometric Foundations: Lines, Angles, Triangles, and Polygons, part of Section 2A: Geometrical Construction - Plane Geometry, from every CSEC Technical Drawing paper on Quelpr.

  1. 120 marks· CSEC Technical Drawing · May/June 2005 · Paper 2Figure 1 illustrates a template for a 5-pointed figure with AB = BC = CD = DE = EA = 40 mm. Replicate the figure, showing the geometrical construction method used to determine the five points A, B, C, D, and E.
  2. 2(a)8 marks· CSEC Technical Drawing · May/June 2005 · Paper 2Construct a triangle having a base length of 100 mm and base angles measuring 75° and 45°.
  3. 2(b)12 marks· CSEC Technical Drawing · May/June 2005 · Paper 2Inscribe the largest possible square inside the constructed triangle such that one side of the square rests on the base of the triangle.
  4. 1(a)10 marks· CSEC Technical Drawing · May/June 2006 · Paper 2Draw a line AB, 95 mm long, and divide it into seven equal parts.
  5. 1(a)12 marks· CSEC Technical Drawing · May/June 2007 · Paper 2Construct the irregular polygon using compasses and rule only.
  6. 4(a)12 marks· CSEC Technical Drawing · May/June 2007 · Paper 2Construct triangle ABC with sides in the ratio AC : BC : AB = 4 : 5 : 6, with AB serving as the base.
  7. 4(b)8 marks· CSEC Technical Drawing · May/June 2007 · Paper 2Construct any escribed circle of the triangle.
  8. 3(a)8 marks· CSEC Technical Drawing · May/June 2008 · Paper 2Draw the circle of diameter 70 mm with centre O and establish the given points A and B according to the dimensions shown in Figure 2.
  9. 4(a)10 marks· CSEC Technical Drawing · May/June 2008 · Paper 2Construct a regular heptagon with a side length of 40 mm.
  10. 1(a)10 marks· CSEC Technical Drawing · May/June 2009 · Paper 2Construct triangle ABC with altitude 70 mm and base angles CAB = 45° and ABC = 60°.
  11. 1(b)10 marks· CSEC Technical Drawing · May/June 2009 · Paper 2Inscribe the largest square within triangle ABC, with one side resting on AB.
  12. 2(a)8 marks· CSEC Technical Drawing · May/June 2009 · Paper 2Construct a right-angled triangle with AC = 156 mm, side AB = 142 mm, and a wheel diameter of 50 mm.
  13. 4(a)8 marks· CSEC Technical Drawing · May/June 2009 · Paper 2Construct the rhombus with diagonal AC = 150 mm, sides = 90 mm, rod EF = 50 mm, and EP = 20 mm.
  14. 1(a)3 marks· CSEC Technical Drawing · May/June 2010 · Paper 2Draw a line AB of length 150 mm.
  15. 1(b)5 marks· CSEC Technical Drawing · May/June 2010 · Paper 2Divide the line AB geometrically into seven equal divisions.
  16. 1(c)4 marks· CSEC Technical Drawing · May/June 2010 · Paper 2Draw a circle using five parts of the line AB as the diameter.
  17. 1(d)8 marks· CSEC Technical Drawing · May/June 2010 · Paper 2Construct the largest regular pentagon that can be fitted within the circle.
  18. 2(a)8 marks· CSEC Technical Drawing · May/June 2010 · Paper 2Construct the parallelogram ABCD.
  19. 3(a)8 marks· CSEC Technical Drawing · May/June 2010 · Paper 2Construct the triangle ABC.
  20. 1(a)10 marks· CSEC Technical Drawing · May/June 2011 · Paper 2Construct the regular pentagon.
  21. 2(a)8 marks· CSEC Technical Drawing · May/June 2011 · Paper 2Construct triangle ABC.
  22. 1(a)12 marks· CSEC Technical Drawing · May/June 2012 · Paper 2Construct the triangle.
  23. 1(b)8 marks· CSEC Technical Drawing · May/June 2012 · Paper 2Using points ABC of the triangle, construct a circle to pass through the three points.
  24. 2(a)10 marks· CSEC Technical Drawing · May/June 2012 · Paper 2Construct the polygon.
  25. 1(a)10 marks· CSEC Technical Drawing · May/June 2013 · Paper 2Construct the given rhombus ABCD.
  26. 3(a)8 marks· CSEC Technical Drawing · May/June 2013 · Paper 2Construct triangle ABC, given base AB = 70 mm, angle CAB = 45°, and angle ABC = 60°.
  27. 1(a)8 marks· CSEC Technical Drawing · May/June 2014 · Paper 2Construct the rectangle ABCD.
  28. 2(a)10 marks· CSEC Technical Drawing · May/June 2014 · Paper 2Construct the given irregular polygon.
  29. 120 marks· CSEC Technical Drawing · May/June 2015 · Paper 2Construct the largest possible regular heptagon within a circle of diameter 110 mm.
  30. 2(a)10 marks· CSEC Technical Drawing · May/June 2015 · Paper 2Construct the given quadrilateral ABCD.
  31. 1(a)8 marks· CSEC Technical Drawing · May/June 2016 · Paper 2Construct the triangle ABC with the given dimensions.
  32. 2(a)10 marks· CSEC Technical Drawing · May/June 2016 · Paper 2Construct the given irregular polygon ABCDE.