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1 markMatrix Representation of Transformations

CSEC Mathematics · Question 3(b)(iii)

Triangle ABC with vertices A(1, 1), B(1, 4) and C(3, 1) is shown on a diagram. Triangle ABC is mapped onto triangle LMN by a reflection in the x-axis followed by a reflection in the y-axis.

State the 2 × 2 matrix for the transformation that maps triangle ABC onto triangle LMN.

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Other parts of this question

  1. 3(a)Using a ruler, a pencil and a pair of compasses only, construct the triangle NLM, in which LM = 12 cm, ∠MLN = 30° and ∠LMN = 90°. (Credit will be given for…[4 marks]
  2. 3(b)(i)On the diagram, draw and label triangle LMN.[2 marks]
  3. 3(b)(ii)Describe fully a single transformation that maps triangle ABC onto triangle LMN.[2 marks]

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