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.
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