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Ivy Maths
All topics

Year 7

Rotations & Transformations

Definition

A transformation moves or changes a shape. Rotations turn it around a centre, reflections flip it over a mirror line, translations slide it, and enlargements scale it, the shape itself stays the same kind.

Why Do I Have to Learn This?

Rotations describe how shapes turn around a point. They are key to patterns, gears and computer graphics.

Key Rules:

  • 1. A rotation needs three details: the centre, the angle and the direction.
  • 2. Rotations, reflections and translations keep a shape congruent (same size and shape).
  • 3. Tracing paper makes rotations easy: mark the centre, then turn.

Remember:

  • Common slip: rotating around the shape’s corner when the centre is somewhere else.
  • Clockwise 90° is the same as anticlockwise 270°.
  • Describe a transformation fully, one missing detail loses the mark.

Enlargement

Making a shape bigger or smaller by a scale factor, keeping its proportions.

Enlarging a triangle by scale factor 2 doubles the length of every side.

Animated Example:

xy
Right 3, up 2: (3, 2)

Free Rotations & Transformations Worksheet

Download free worksheets and practise today.

Every download has a fresh set of questions.

Let’s Practise the Concept

Step 1 of 3

Which move is it?

Drag each one into the right group.

Changes the way it faces

Drop them here

Keeps the way it faces

Drop them here