Help your students prepare for their Maths GCSE with this free transformation worksheet of 32 questions and answers
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 area of compound shapes worksheet.
For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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