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3 marksMatrix Representation of Transformations

CSEC Mathematics · May/June 2004 · Paper 2 · Question 14(a)(v)

An answer sheet is provided for this question. On the answer sheet, perform the following transformations: Reflect triangle P in the y-axis. Label its image Q.

Write down the 2 x 2 matrix for the transformation which maps triangle P onto triangle S.

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Other parts of this question

  1. 14(a)(i)Reflect triangle P in the y-axis. Label its image Q.[5 marks]
  2. 14(a)(ii)Draw the line y = x and reflect triangle Q in this line. Label its image R.[5 marks]
  3. 14(a)(iii)Describe, in words, the single geometric transformation which maps triangle P onto triangle R.[3 marks]
  4. 14(a)(iv)Reflect triangle Q in the x-axis. Label its image S.[3 marks]
  5. 14(b)(i)a)Write down the 2 x 2 matrix for a reflection in the y-axis.[4 marks]
  6. 14(b)(i)b)Write down the 2 x 2 matrix for a reflection in the line y = x.[4 marks]
  7. 14(b)(ii)Using the two matrices in b(i) above, obtain a SINGLE matrix for a reflection in the y-axis followed by a reflection in the line y = x.[4 marks]

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