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O-LevelMathematicsVectors and transformations4024/22 · May/June 2015 · Q1012 Marks

(a) [Figure 10.1]

  1. (a)(i)Describe fully the single transformation that maps triangle A onto triangle B.[2]
  2. (a)(ii)Triangle B is mapped onto triangle C by a translation, vector [-2, -3]. Draw and label triangle C.[2]
  3. (a)(iii)Triangle A is mapped onto triangle D by a reflection in the line y = x . Draw and label triangle D.[2]
  4. (a)(iv)Triangle E is geometrically similar to triangle A and its longest side is 12 cm. Calculate the area of triangle E.[2]
  5. (b)State the number of lines of symmetry of the octagon above. [Figure 10.2][1]
  6. (c)The cross-section of a prism is an equilateral triangle. State the number of planes of symmetry of the prism.[1]
  7. (d)Name two special quadrilaterals that have exactly 2 lines of symmetry and also rotational symmetry of order 2.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [2] B1 for Rotation; B1 for 90° anticlockwise and about (1,1); Rotation 90° anticlockwise about (1,1)
  2. [2] B1 for two correct vertices; Correct triangle
  3. [2] B1 for two correct vertices; Correct triangle
  4. [2] B1 for 4² soi or M1 for 1/2 × 12 × 4; 24
  5. [1] 2
  6. [1] 4
  7. [2] B1 for one correct; Rectangle, Rhombus

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 12 marks.
Source
O-Level Mathematics, May/June 2015 Paper 2 Variant 2, question 10.

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