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Cambridge IGCSE Mathematics practice

exam practice - Identify, explain, and illustrate the following transformations, which may include combinations: 1. Reflecting a shape across a straight line. 2. Rotating a shape around a center by multiples of 90 degrees. 3. Enlarging a shape from a center using positive, fractional, or negative scale factors. 4. Translating a shape using a vector. - Transformations

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2

Paper

2

Marks

Topic

Transformations

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

Transformations of a triangle

Diagram Description

Triangle ABC and its image after transformation

Triangle ABC is shown on a coordinate grid. The triangle is reflected across the y-axis to form triangle A'B'C'.

PointCoordinates of ABCCoordinates of A'B'C'
A(2,3)(-2,3)
B(4,1)(-4,1)
C(3,5)(-3,5)
  1. a

    Describe the transformation that maps triangle ABC onto triangle A'B'C'.

    Aim for approximately 2 distinct marking points.

    [2]

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Maths method check

  • Topic focus: Transformations.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Transformations

Paper 2Core or Extended Mathematics3 marks

Description

Enlargement of a square

A square with vertices at (1,1), (3,1), (3,3), and (1,3) is enlarged from the origin by a scale factor of -2.

  1. a

    Calculate the coordinates of the image of the vertex at (3,1) after the enlargement.

    Aim for approximately 3 distinct marking points.

    [3]