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CSEC Mathematics · January 2007 · Paper 2 · Question 4(a)(ii)

This question involves geometric constructions and coordinate geometry. For part (a), construct a triangle and a perpendicular line segment.

Draw a line segment AD such that AD meets BC at D and is perpendicular to BC.

The mark scheme is shown once you've answered.

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Other parts of this question

  1. 4(a)(i)Using a pencil, ruler and a pair of compasses only, construct Δ ABC with BC = 6 cm and AB = AC = 8 cm. All construction lines must be clearly shown.[3 marks]
  2. 4(a)(iii)a)Measure and state the length of the line segment AD.[1 mark]
  3. 4(a)(iii)b)Measure and state the size of angle ABC.[1 mark]
  4. 4(b)(i)Calculate the gradient of PQ.[2 marks]
  5. 4(b)(ii)Calculate the midpoint of PQ.[2 marks]

More practice: the rest of this paper · more Constructing Lines, Angles, and Polygons questions · all CSEC Mathematics past papers