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Brainlag Learn / GCSE Maths

Transformations, congruence and similarity

Translations, reflections, rotations and enlargements on a grid and how to describe them fully, combined transformations and invariant points, the congruence conditions, and similar shapes with their length, area and volume scale factors.

Lessons

  1. Translations and reflectionsSliding a shape by a column vector, flipping it in a mirror line, and describing either one fully. 20 min, with the Graph transformations simulation, free
  2. Rotations and enlargementsTurning a shape about a centre, enlarging it from a centre, and finding the angle, centre or scale factor from a diagram. 25 min, free
  3. Combined transformations and negative scale factorsOne transformation after another, the points that never move, and what a negative scale factor does. 25 min, Plus
  4. Congruent trianglesThe four conditions that prove two triangles are congruent, the two that do not, and how to write a short proof. 20 min, Plus
  5. Similar shapes and solidsScale factors between similar shapes, missing lengths, and how areas and volumes scale (Higher). 25 min, Plus

Practise and test

AQA, Pearson Edexcel and OCR are registered trade marks of their owners. Brainlag Learn is independent: it is not affiliated with or endorsed by any exam board, and every question on it is original.