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Transformations

IGCSE Mathematics 0580, topic 7.1. Reflect, rotate, enlarge and translate a shape on the grid, describe a transformation fully, and combine two transformations into one.

About this lab: Transformations

Interactive simulation for Cambridge IGCSE Mathematics 0580 topic 7.1 Transformations: reflect a shape in a draggable mirror line, rotate it about any centre with tracing paper, enlarge it with positive, fractional and negative scale factors using rays from the centre, translate it by a column vector, practise describing a transformation fully with hints and construction lines, and combine two transformations to find the single equivalent one.

IGCSE Mathematics 0580, topic 7.1. Reflect, rotate, enlarge and translate a shape on the grid, describe a transformation fully, and combine two transformations into one.

Transformations is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 7 Transformations and vectors, section 7.1 Transformations). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 6 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

Full syllabus map: IGCSE Mathematics 0580 topic 7.

How to use this simulation

  1. 1. Reflection.
  2. 2. Rotation.
  3. 3. Enlargement.
  4. 4. Translation.
  5. 5. Describe it fully.
  6. 6. Combined.
  7. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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