# Transformations Worksheets

• Section 1 of the transformation worksheet contains 24 skills-based transformation questions, in 3 groups to support differentiation
• Section 2 contains 4 applied transformation questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style transformation questions
• Answers and a mark scheme for all transformation questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Transformation at a glance

A transformation is something which changes the position or size of an object. There are four types of transformation, reflection, rotation, translation and enlargement.

Reflections use a mirror line and result in the shape being flipped. In order to describe a reflection we need to describe or give the equation of the mirror line. Common lines used as a mirror line are the x axis, the y axis and the line y=x.

Rotations involve turning a shape around a point. When rotating shapes we need to know the centre of rotation (given as a coordinate), angle of rotation (given in degrees) and direction of rotation (either clockwise or anticlockwise). It is helpful to use tracing paper when doing rotations.

Translations involve moving a shape to a different position without changing its size or orientation. Translations are described by a vector, which tells us how many units up/down and left/right to move the shape.

Enlargement involves making a shape bigger or smaller. Enlargements are often done from a centre of enlargement and the scale factor tells us how many times bigger the shape will become. When a scale factor is greater than one the shape becomes bigger, when a scale factor is between 0 and 1 the shape gets smaller and when the scale factor is negative the shape is flipped.

Looking forward, students can then progress to additional geometry worksheets, for example a 3D shapes worksheet or an.

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