🔄 Transformation - Rotation
Master rotation transformations. Learn how shapes can be rotated around points, understand angle measurements, and explore the properties of rotated figures.
What is Rotation?
Rotation turns shapes around a point! 🔄
Rotation is a transformation that turns a shape around a fixed point called the centre of rotation. The shape moves in a circular path while maintaining its size and shape. Rotation is measured in degrees and can be clockwise or counterclockwise.
The point around which the shape rotates. It can be inside, outside, or on the edge of the shape.
The amount the shape turns, measured in degrees. Common rotations are 90°, 180°, and 270°.
The direction of rotation - clockwise (like clock hands) or counterclockwise (opposite direction).
Key Concepts
Centre of Rotation
Understand how the centre point affects the rotation. Learn about internal, external, and boundary centres.
Angle Measurement
Learn to measure and specify rotation angles. Understand common rotation angles and their effects on shapes.
Direction Sense
Develop the ability to determine rotation direction and understand how it affects the final position of shapes.
Examples
Example 1: 90° Rotation
Quarter Turn
Steps to Rotate
Example 2: 180° Rotation
Half Turn
Common Applications
Example 3: Different Centres
Centre Point Effects
Rotation Properties
Interactive Activities
Activity 1: Virtual Rotator
Use virtual tools to rotate shapes around different centres.
Activity 2: Angle Estimator
Practice estimating and measuring rotation angles.
Activity 3: Direction Detector
Identify rotation direction and predict final positions.
Activity 4: Rotation Creator
Create your own rotations and explore different centres.
Practice Questions
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4 practice questions on this topic, from easy to 11+ level. Reading the guide is free for everyone; practice is for members, and signing up is free.
Study Tips
💡 Learning Strategies
- • Use a protractor to measure angles
- • Practice with simple shapes first
- • Mark the centre point clearly
- • Use tracing paper for practice
- • Think of clock hands for direction
🚀 Exam Preparation
- • Know common rotation angles
- • Practice with different centres
- • Understand direction effects
- • Use systematic approaches
- • Check work by reversing