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4 marksRelationships Between Object and Image (Transformations)

CSEC Mathematics · January 2004 · Paper 2 · Question 3(b)(ii)

Triangle ACD is an enlargement of triangle ABE, with A as the centre of enlargement. AB = 6 cm and BC = 4 cm. The diagram shows points A, B, C collinear and A, E, D collinear, forming triangles ABE and ACD.

Calculate the area of triangle ACD, in cm², given that the area of triangle ABE is 18 cm².

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Other parts of this question

  1. 3(a)(i)Draw a Venn diagram to represent the information above.[6 marks]
  2. 3(a)(ii)a)List, using set notation, the members of the set P ∩ Q.[6 marks]
  3. 3(a)(ii)b)List, using set notation, the members of the set (P ∪ Q)'.[6 marks]
  4. 3(b)(i)Calculate the scale factor of the enlargement which maps triangle ABE onto triangle ACD.[4 marks]

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