Geometric Transformations

What this unit covers

The resources here follow the main transformations of a shape: translation, reflection, rotation and dilation (also called enlargement). Several mind maps treat the first three as rigid transformations, where the shape keeps its size. Others focus on enlargements, composite transformations and further reflections and rotations.

Where to start

Begin with the Transformations mind map. It lists reflection, translation, dilation and rotation, and defines translation as moving something from one place to another. Then open the Rigid Transformations mind map, which explains that in a rotation the distance from the centre to any point stays the same.

Next, move to flashcards. The deck called Rigid Transformation: Reflection Review covers reflecting across the x-axis, the y-axis, y=x, y=-x and lines such as x=number.

Using quizzes and maps together

Quizzes work best once you have read a map. Here is a sensible order:

1. Take the Pre-Test on Transformation to see what you already know.
2. Practise one type at a time with the quizzes Reflections, Translations, Rotations and Dilations.
3. Use the quiz Dilation with scale factor to check what happens when a scale factor is greater than 1.
4. Finish with the Transformation quiz, or the Unit 1 test on transformations in the coordinate plane.

If an answer surprises you, go back to the matching map and read that branch again.

Where it fits

This unit sits in the Geometry, Measurement and Trigonometry strand of Mathematics. It is mostly secondary material, and some resources mention GCSE Maths. Teachers can use the maps and quizzes as ready-made starters or revision tasks.

Next step

Choose one transformation, read its map, then test yourself with a quiz. Come back to the flashcards when you want a quick refresher.